SSC CGL 202011)The distance between two stations, A and B, is 428 km.A train starts from station ‘A’ at 6:00 a.m. and moves towards station ‘B’ at an average speed of 48 km/h. Another train starts from station ‘B’ at 6:20 a.m. and moves towards station ‘A’ at an average speed of 55 km/h. At what time will the trains meet?
10 : 20 a.m.
Distance travelled by train in 20 min = \(48\times{20\over60}\) = 16 km. ; Now when both train starts moving the distance between them is = 428 - 16 = 412 km. ;
Relative speed = 55 + 48 = 103 km/ hr ; Time = \(412\over103\) = 4 hr. ; Hence both train will meet at 6:20 + 4 = 10:20 am
SSC CGL 202012)A boat can go 3.6 km upstream and 5.4 km downstream in 54 minutes, while it can go 5.4 km upstream and 3.6 km downstream in 58.5 minutes. The time (in minutes) taken by the boat in going 10 km downstream is :
50
Let speed of boat in still water be x kmph and speed of stream be y kmph.
\({3.6\over x-y}+{5.4\over x+y}={54\over60}\) ; Again, \({5.4\over x-y}+{3.6\over x+y}={58.5\over60}\) ; ⇒ x + y = 12 kmph ;
Required time = \({10\over12}\times 60 = 50 \space minutes\)
SSC CHSL 202113)Two trains start at the same time from two stations and proceed towards each other at speeds of 90 km/h and 70 km/h, respectively. When they meet, it is found that one train has travelled 140 km more than the other. What is the distance (in km) between the two stations?
1120
SSC CHSL 202114)Two cars X and Y start running towards each other from two places 216 km apart. The ratio of the speeds of X and Y is 5 ∶ 7 and the speed of X is 60 km/h. After how many minutes will X and Y meet each other?
90
SSC CHSL 202115)Trains A and B of lengths 329 m and 296 m, respectively, are running in opposite directions on parallel tracks, at the speeds of 85 km/h and 65 km/h, respectively. In what time (in seconds) will they cross each other?
15
SSC CHSL 202116)A boat can travel with a speed of 19 km/h in still water. If the speed of the stream is 3 km/h, then what will be the total time (in hours) taken by the boat to go 88 km downstream and 24 km upstream?
5.5
SSC CHSL 202117)A train starts running at a uniform speed of 60 km/h from station P towards station Q. At the same time another train starts running from station Q towards station P. If the distance between the stations P and Q is 275 km and the trains meet in two and a half hours, then what is the speed of the train running towards station P in km/h?
50
SSC CHSL 202118)The speed of a train is 78 km/h. It crosses a tunnel in 45 s and overtakes a person walking at a speed of 6 km/h, in the same direction, in 15 s. The length (in m) of the tunnel is:
675
SSC CHSL 202119)Ravi can row a boat in still water at the speed of 14 km/h. If a river is flowing at the sped of 2 km/h and Ravi takes 3 hours to cover a certain distance upstream, then how much time will he take to cover the same distance downstream?
2 h 15 m
SSC CHSL 202120)Two trains X and Y of lengths 450 meters and 550 meters, respectively, are running in the same direction on parallel tracks. If the speeds of X and Y are 58 km/h and 86 km/h, respectively, then what will be the time taken by then to cross each other?
(correct to one decimal place)
128.6 seconds