Model 5 Problems with Races Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

A is twice as fast as B, and B is thrice as fast as C is. The journey covered by C in 1$1/2$ hours will be covered by A in

a) 30 minutes

b) 10 minutes

c) 1 hour

d) 15 minutes

Question : 2

A runs twice as fast as B and B runs thrice as fast as C. The distance covered by C in 72 minutes, will be covered by A in :

a) 24 minutes

b) 12 minutes

c) 16 minutes

d) 18 minutes

Question : 3

Walking at the rate of 4 kmph a man covers certain distance in 2 hrs 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in how many minutes ?

a) 35 min.

b) 45 min.

c) 40 min.

d) 50 min.

Question : 4

In a race of 1000 m, A can beat B by 100m. In a race of 400 m, B beats C by 40m. In a race of 500m. A will beat C by

a) 50 m

b) 60 m

c) 45 m

d) 95 m

Question : 5

A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then A's speed is equal to:

a) 4 km/hr.

b) 7 km/hr.

c) 5 km/hr.

d) 3 km/hr.

Question : 6

Two persons ride towards each other from two places 55 km apart, one riding at 12km/hr and the other at 10 km/hr. In what time will they be 11 km apart?

a) 1 hour and 30 minutes

b) 2 hours and 45 minutes

c) 2 hours

d) 2 hours and 30 minutes