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?
Given :
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
Tip: -
When the cars meet the distances travelled by cars are equal.
96 + (n - 1) = 120
n = 25
∴ The two cars meet after 25 hours
from their start and overtake the first car.