| Two cars start together from the same place in the same direction. The first go with a uniform speed of 60 km/hr. The second goes at a speed of 48 km/hr in the first hour and increases the speed by 1 km each succeeding hour. After how many hours will the second car overtake the first car if both cars go non – stop

A. 21

B. 25

C. 28

D. 35

### Right Answer is: B

#### SOLUTION

Two cars start together from the same place and move in the same direction.

The first car moves with a uniform speed of 60km/hr.

The second car moves with 48km/hr in the first hour and increases the speed by 1 km each succeeding hour.

Let the cars meet at n hours.

Distance travelled the first car in n hours = 60×n

Distance travelled by the second car in n hours is

n/2(2×48+(n-1)x1)=60n

96+(n-1)=120

n=25

∴ The two cars meet after 25 hours from their start and overtake the first car.