SSC CGL 20221)Some students went on a field trip. At a speed of 6 km/h, they travelled by bikes for 2 hours; then at a speed of 2 km/h, they walked for another hour; then they took rest for an hour and had lunch for half an hour; then at a speed of 1 m/s, they walked for an hour to visit a garden; and finally at a speed 4 km/h, they returned home in 3 hours. Their average speed, in km/h, (rounded off to two places of decimal) is:
3.48
SSC CGL 20222)A jeep travels to a place 300 km away at an average speed of 60 km/h and returns at a speed of 30 km/h. What is the average speed (in km/h) for the whole journey?
40
SSC CGL 20223)A boat moves 25 km upstream and 39 km downstream in 8 hours. It travels 35 km upstream and 52 km downstream in 11 hours. What is the speed of the stream if it travels at a uniform speed?
4 km/h
SSC CGL 20224)A student walked 6 km from his house to reach the metro station, then boarded a metro that has an average speed of 60 km/h, and reached the destination. It took 3 hours for the entire journey. If the average speed of the entire journey is 32 km/h, then the speed of walking is ________.
1.5 km/h
SSC CGL 20225)A train travels at a speed of 18 m/s in the first 5 minutes, covers 7.5 km in the next 10 minutes and covers 12 km in another 10 minutes. What is its average speed (in km/h, rounded off to 1 decimal place) for the entire journey?
59.8
SSC CGL 20226)Two-thirds of a certain distance was covered at the speed of 45 km/h, one-fourth at the speed of 60 km/h and the rest at the speed of 75 km/h. Find the average speed per hour for the whole journey. (correct to 2 decimal places)
49.77 km/h
SSC CGL 20227)If Ram covers a certain journey at 60% of his usual speed, he reaches the destination late by 36 min. His usual time (in min) to reach the destination is:
54
SSC CGL 20228)In a 1500 m race, Anil beats Bakul by 150 m and in the same race Bakul beats Charles by 75 m. By what distance does Anil beat Charles?
217.50 m
9)A car travelled 36 km at 6km/hr faster than the usual speed but it returned the same distance at 6kmph slower than the usual speed. If the total time taken by the car is 8 hrs. For how many hours does the car travelled at faster speed.
10)After traveling 50km, a train meets with an accident and travels at 75% of its usual Speed and reaches 45 min late. Had the accident happened 10km further on it would have reached 35 min late. Find the usual Speed?
11)A car travels 228 km in 3 hours. How long will it take to travel 912 km & how far will it travel in 7 hours?
12 hours & 532 km
SSC CGL 202212)The distance between two towns is covered in 7 hours at a speed of 50 km/h. By how much should the speed (in km/h) be increased so that 2 hours of travelling time will be saved?
20
SSC CGL 202213)If Raman drives his bike at a speed of 24 km/h, he reaches his office 5 minutes late. If he drives at a speed of 30 km/h, he reaches his office 4 minutes early. How much time (in minutes) will he take to reach his office at a speed of 27 km/h?
40
SSC CGL 202214)Akhil rides first 12 km at a speed of 16 km/h and further 6 km at a speed of 20 km/h. Find his average speed (in km/h).
SSC CGL 202215)A car covers a distance of 90 km in 50 min. What is its speed (in m/s)?
30
SSC CGL 202216)A takes 3 hours more than B to walk 'd' km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require to walk 'd' km?
8
SSC CGL 202217)Shyam drives his car 30 km at a speed of 45 km/h and, for the next 1 h 20 m, he drives it at a speed of 51 km/h. Find his average speed (in km/h) for the entire journey.
SSC CGL 202218)A person travels 5x distance at a speed of 5 km/h, x distance at a speed of 5 km/h, and 4x distance at a speed of 6 km/h, and takes a total of 112 minutes. What is the total distance (in km) travelled by the person?
10
SSC CGL 202219)A train covers a distance of 225 km in \( 2\frac{1}{2} \) hours at a uniform speed. The time taken by the train (in hours) to cover a distance of 630 km at the same speed is:
7
SSC CGL 202220)A train covers a distance of 225 km in \(2\frac{1}{2}\) hours with a uniform speed. The time taken, in hours, to cover a distance of 450 km with the same speed is:
5
SSC CGL 202221)A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
108
SSC CGL 202222)The ratio of the speeds of two trains is 2 : 7. If the first train runs 250 km in 5 hours, then the sum of the speeds (in km/h) of both the trains is:
225
SSC CGL 202223)A car runs first 275 km at an average speed of 50 km/h and the next 315 km at an average speed of 70 km/h. What is the average speed ( in km/h) for the entire journey?
59
SSC CPO 202024)A train covers 400 km at a uniform speed. If the speed had been 10 km/h more, it would have taken 2 hours less for the same journey. What is the usual time taken (in hours) by it to complete the journey?
10
SSC CPO 202025)A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. What is the average time taken by A and B to walk a 40 km distance ?
5 hours 45 minutes
SSC CPO 202026)A boy increases his speed to \(\frac{9}{5}\) times of his original speed. By doing this, he reaches his school 40 minutes before the usual time. How much time (in minutes) does he take usually?
90
SSC CPO 202027)A bus covers a 60 kilometre distance in 1 hour 30 minutes, whereas the same distance is covered by a car in 45 minutes. What is the ratio of the speed of the car to the speed of the bus?
2 : 1
SSC CPO 202028)A person covers a distance of 300 km and then returns to the starting point. The time taken by him for the outward journey is 5 hours more than time taken for the return journey. If he returned at a speed of 10 km/h more than the speed of going. What was the speed (in km/h) for the outward journey?
20 km/h
SSC CPO 202029)A person travels a distance of 300 km and then returns to the starting point. The time taken by him for the outward journey is 5 hours more than the time taken for the return journey. If he returns at a speed of 10 km / h more than the speed of going, what is the average speed (in km/h) for the entire journey?
24
SSC CPO 202030)A bus covers a 60-kilometre distance in 1 hour 15 minutes, whereas the same distance is covered by a car in 45 minutes. What is the ratio of the speed of the bus to the speed of the car?
3 : 5
SSC CPO 202031)A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require for walking a 40 km distance?
7
SSC Selection Post Matric 202232)A woman cycles 30 km in 1 hour 45 minutes. A part of her journey is on a level road 18 km long, and the remaining journey is uphill. If the woman's average speed on the level road is 24 km/h, what is her uphill speed (in km/h)?
SSC Selection Post Matric 202233)A car covers a certain distance at a constant speed of 45 km/h in 4 hours. If the car moves at a speed of 40km/h, how much more time (in minutes) will it take to cover the same distance?
30
SSC Selection Post Matric 202234)A train covers the distance between two stations in 220 minutes. If the distance between the two stations is 484 km, what is the speed of the train in km/h?
132
SSC Selection Post Matric 202235)A man has to cover a distance of 108 km 9 hours. If he covers \(2\over3\) of the distance in \(\frac{5}{9}\)times, what should be his speed (in km/h) to cover remaining distance in the time left?
9
SSC Selection Post Matric 202236)A person reaches his destination 32 minutes late if his speed is 6 km/h, and reaches 18 minutes before time if his speed is 7 km/h. Find twice the distance (in km) of his destination from his starting point.
SSC Selection Post Matric 202237)A car travels for 15 minutes at 30 km/h, for 30 minutes at 60 km/h, and for 1 hour at \(66 \frac{2}{3} \)km/h. The average speed (in km/h) of the car is: (correct to one decimal place)
59.5
SSC Selection Post Matric 202238)A car can cover a certain distance at a certain uniform speed in 19.2 hours. If the speed is increased by 8 km per hour, the same distance is covered in 18 hours. The distance (in km) is:
2304
SSC Selection Post Matric 202239)P, Q and R participated in a cycle race of 4000 metres. P cycles twice as fast as Q and R cycles half as fast as Q. If R completes the race in 40 minutes, then what is the speed (in km/h) of P?
24
SSC Selection Post Matric 202240)In a 1000 km trip, a man drives at a speed of 50 kmph for the first five-eighth of the total distance. If he completes the whole journey in 19 hours (resting time not included), what is his speed (in kmph, correct up to 1 decimal place) for the rest of the journey?
SSC Selection Post Matric 202241)A car covers the first 80 km of its journey at a speed of 40 km/h. The driver makes a stop at the tea-stall for 30 minutes and then continues his journey at a speed of 60 km/h for 4 hours. What is his average speed (in km/h, correct to 1 decimal place)?
49.2
SSC Selection Post Matric 202242)A man is delayed in reaching his workplace by 30 minutes due to bad traffic as he can drive at \(7\over9\) of his usual speed. What is his usual time (in hours and minutes) of travel?
1 hour 45 minutes
SSC Selection Post Matric 202243)Anu drives her car for 1 hour at a speed of 60 km/h, for 2 hours at a speed of 55 km/h, and for 3 hours at a speed of 45 km/h. What is the average speed of the car (in km/h)?
\(50 {5 \over 6}\)
SSC Selection Post Matric 202244)A travelled from a place P to place Q at an average speed of 36 km/h. He travelled the first 75% of the distance in four-fifth of the time and the rest at a constant speed of x km/h. The value of x is:
45
SSC CHSL 202145)A car takes 50 minutes to cover a certain distance at a speed of 54 km/h. If the speed is increased by 25%, then how long will it take to cover three-fourth of the same distance?
30 minutes
SSC CHSL 202146)A bus covered 360 km in 6 hours. If it travels at one-fourth of its usual speed, then how much more time will it take to cover the same distance?
18 hours
SSC CHSL 202147)With a speed of 48 km/h, Raghu is able to complete his journey in 2 hours 28 minutes. If he wants to cover the same distance in 1 hour 36 minutes, then what should be his new speed?
74 km/h
SSC CHSL 202148)The speed of a car is 40% more than that of a bus. A train covers 1020 km in \(8\frac{1}{2}\)hours. How much distance will the car cover in \(1{3\over4}\) hours if the speed of the bus is half the speed of the train?
147 km
SSC CHSL 202149)Dimple is travelling at a speed of 90 km per hour on a highway, while Sachin is travelling at a speed of 108 km per hour. What is the difference in their speeds, in metres per second?
5
SSC CHSL 202150)Mohan takes 2 hours more than Kishore to walk 63 km. If Mohan increases his speed by 50%, then he can make it in 1 hour less than Kishore. How much time does Kishore take to walk 63 km?
SSC CHSL 202151)A train is running at a speed of 99 km/h. If the train is 565 m long, then what will be the time (in seconds) taken by it to cross a 975 m long tunnel?
56
SSC CHSL 202152)During his morning walk, Atul walks for 45 minutes at a speed of 8 km/h and takes 15 rounds of a park. Shekhar takes 10 rounds of the same park in 40 minutes. What is the speed of Shekhar in km/h?
6
SSC CHSL 202153)A train travels at a speed of 66 km/h and halts at five junctions for a certain time. It covers a distance of 1485 km in one day. For how long (in minutes) does the train stop at each junction, if it halts for the same period of time at all the junctions?
18
SSC CHSL 202154)X and Y start at the same time to ride from place A to place B, which is 80 km away from A. X travels 4 km per hour slower than Y. Y reaches place B and at once turns back meeting X, 16 km from place B. Y's speed (in km/h) is:
12
SSC CHSL 202155)A man walking at a rate of 4 km/h crossed a tunnel in 18 minutes. What is the length of the tunnel in meters?
SSC CHSL 202156)If a person travels at a speed of 48 km/h, he will reach his destination on time. He covers two-thirds of his journey in five-sixths of time. At what speed (in km/h) should he travel to cover the remaining distance to reach his destination on time?
96
SSC CHSL 202157)A man cycles from P to Q, a distance of 30 km, in 2 hours 48 minutes. The road from P is a level road for 18 km and then it is uphill to Q. The man’s average speed on the level road is 15 km/h. What is his average uphill speed (in km/h)?
7.5
SSC CHSL 202158)A bicycle wheel has a radius of 42 cm. It makes 40 revolutions in 25 seconds. What is its speed (in km/h, up to one decimal place)?
15.2
SSC CHSL 202159)Vaibhav and Vignesh each travel a distance of 78 km such that the speed of Vaibhav is faster than that of Vignesh. The sum of their speeds is 91 km/h and the total time taken by both is 3 hours and 30 minutes. The speed of Vaibhav is:
52 km/h
SSC CHSL 202160)A person moved from place A for place B at 2 p.m. at a speed of 4.5 km/h, stayed at place B for 1.5 hours and returned to place A at a speed of 6 km/h. He came back to place A at 7 p.m. What is the distance between places A and B (in km)?
9
SSC CHSL 202161)Train A takes \(1\frac{4}{5}\) h more than the time taken by train B to cover a distance of 360 km. If the speed of train A doubles, it will take 36 min less than the time taken by train B to travel the same distance. What is the speed (in km/h) of train B?
120
SSC CHSL 202162)Ashok completes a journey in 7 hours. He travels the first half of the journey at the speed of 24 km/h and the second half of it at the speed of 32 km/h. The total distance of the journey is:
192 km
SSC CHSL 202163)A truck covers a distance of 480 km at a certain speed. If the speed is decreased by 8 km/h, it would have taken 2 hours more to cover the same distance. 50% of its original speed (in km/h) is:
24
SSC CHSL 202164)A car covers a distance of 48 km at a speed of 40 km/h and another 52 km with a speed of 65 km/h. What is the average speed of the car (in km/h) for the total distance covered?
50
SSC CGL 202065)A train takes \(2{1\over2}\) hours less for a journey of 300 km, if its speed is increased by 20 km/h from its usual speed. How much time will it take to cover a distance of 192 km at its usual speed?
4.8 hours
Let the usual peed of train be x km/hr.
Distance = 300 km;
Time = \(2\frac{1}{2} hours = \frac{5}{2}\) = 2.5 hr;
Time = distance/speed;
According to quetion,
\(\frac{300}{x} - \frac{300}{x + 20} = 2.5\);
\((x + 20) \times 120 - 120x = x(x + 20)\);
\(x^2 + 20x - 2400 = 0\);
\(x^2 + 60x - 40x - 2400 = 0\);
x(x + 60) - 40(x + 60) = 0;
(x + 60)(x- 40) = 0;
x = 40;
Distance = 192 km;
Time taken to cover distance by usually speed = 192/40 = 4.8 hours
SSC CGL 202066)A student takes 1.25 hours to travel from home to school at a speed of 4 km/h. By what percentage should he increase his speed to reduce the time by 25% to cover the same distance from school to home?
\(33{1\over3} \)%
Decrease in time = 25% = x; \(\therefore \) Percentage increase in speed = \({x\over 100-x}\times100={25\times100\over75}=33{1\over3}\)%
SSC CGL 202067)Two cyclists X and Y start at the same time from place A and go towards place B at a speed of 6 km/h and 8 km/h,respectively. Despite stopping for 15 minutes during the journey, Y reaches 10 minutes earlier than X. The distance between the places A and B is:
10 km
Let the distance between A and B be x km. According to the question, \({x\over6}-{x\over8}= {15+10\over60}\); x = 10 km.
SSC CGL 202068)Amit travelled a distance of 50 km in 9 hours. He travelled partly on foot at 5 km/h and partly by bicycle at 10 km/h. The distance travelled on the bicycle is :
10 km.
SSC CGL 201969)A man starts from his house and travelling at 30 km/h, he reaches his office late by 10 minutes, and travelling at 24 km/h, he reaches his office late by 18 minutes. The distance (in km) from his house to his office is :
16
Let the actual time required to reach office be t hrs, then equating distances;
\({30 (t+ {10\over 60})} = {24 (t+ {18\over 60})}\)
\(t = {11 \over 30} hrs\)
put value of t in above equation, distance will be 16 Km
SSC CGL 201970)Walking at 60% of his usual speed, a man reaches his destination 1 hour 40 minutes late, His usual time (in hours) to reach the destination is:
\(2\frac{1}{2}\)
Let the speed of the man be x and the usual time to reach the destination be t hrs
\(xt = x \times {60 \over 100}{(t + {100 \over 60})}\)
\(xt = x \times {60 \over 100}{(t + {100 \over 60})}\)
solving above equation we get t=2.5 hrs
SSC CGL 201971)A person covers 40% of the distance from A to B at 8 km/h, 40% of the remaining distance at 9 km/h and the rest at 12 km/h. His average speed (in km/h) for the journey is:
\(9\frac{3}{8}\)
SSC CGL 201972)To cover a distance of 416 km, a train A takes \(2\frac{2}{3}\) hours more than train B. If the speed of A is doubled, it would take \(1\frac{1}{3}\) hours less than B, What is the speed (in km/h) of train A?
52
Let the speed of Train A be x Km/hr and that of be B Y km/hr. Make relation b/w them in time;
. \( {416 \over x} - {416 \over y} = {8 \over 3}\) ---(1) ;
\( {416 \over y} - {416 \over 2x} = {4 \over 3}\) ----(2) ;
adding eqn (1) and (2) ;
\( {416 \over x} - {416 \over 2x} = {8 \over 3} + {4 \over 3}\) ;
x = 52 kmph
SSC CGL 201973)Travelling at 60 km/h, a person reaches his destination in a certain time. He covers 60% of his journey in \({2 \over 5}\)th of the time . At what speed (in km/h) should he travel to cover the remaining journey so that he reaches the destination right on time?
40
Let the distance be 60 km and time taken to cover the distance be 1 hr.
Remaining distance = 40% of the total distance = \(60 \times \frac{40}{100}\) = 24 km;
Remaining time = 1 - 2/5 = 3/5 hr;
Speed = distance/time = \(\frac{24}{3/5}\) = 40 km/hr