1)A takes 3 min 40 sec while B takes 4 mins to complete a race. A beats B by 60 m in the race if both start simultaneously from the starting point. Find the length of the course.
720 m
when A completes the race he took 3 min 40 sec and at that time B was 60 m away..since B completes the race in 4 min, therefore he will take 20 sec more to complete the race ..hence B will travel 60 m in 20 sec .. thus speed of B= 60/20 =3 m/s
length of course= 3 x 4 x 60 = 720 m
2)In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:
3)A runs \(1 {2 \over 3}\) times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
4)In a 100 m race, A beats B by 10 m and in a 300 m race A beats C by 39 m. In a race of 210 m, B will beat C by:
5)In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:
20 m
6)In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
20 m
7)In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
8)A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:
9)A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
SSC CGL 202210)In a 1000 m race, Arjun, Balaji and Charan are running. Arjun beats Balaji by 100 m, and Balaji beats Charan by 100 m. In the next 1000 m race (the speeds are the same as in the previous), Balaji gives Charan ahead start of 100 m, and Arjun gives Balaji ahead start of 100 m. Find the distance by which the winner is ahead of the person just behind him.
20 m