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

Question : 1

A and B start running at the same time and from the same point around a circle. If A can complete one round in 40 seconds and B in 50 seconds, how many seconds will they take to reach the starting point simultaneously ?

a) 200

b) 2000

c) 90

d) 10

Question : 2

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 : 3

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 : 4

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 : 5

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

Question : 6

Sarthak completed a marathon in 4 hours and 35 minutes. The marathon consisted of a 10 km run followed by 20 km cycle ride and the remaining distance again a run. He ran the first stage at 6 km/hr and then cycled at 16 km/ hr. How much distance did Sarthak cover in total, if his speed in the last run was just half that of his first run?

a) 35 km.

b) 45 km.

c) 40 km.

d) 5 km.