A car is 250 meters behind the bus. The car and the bus are moving at a speed…
2024
A car is 250 meters behind the bus. The car and the bus are moving at a speed of 60 km/hr and 35 km/hr respectively. In what time will the car be ahead of the bus by 250 meters?
- A.
37 seconds
- B.
48 seconds
- C.
72 seconds
- D.
68 seconds
Attempted by 16 students.
Show answer & explanation
Correct answer: C
Answer: Option C
Explanation:
Initially the car is 250 meters behind the bus. We have to find the time taken by the car to be ahead of the bus by 250 meters.
So the car should first cover the 250 meters by which it is behind and then again another 250 meters to be ahead of the bus.
Thus, the total distance to be covered = (250 + 250) = 500 meters
Throughout the journey both the car and the bus are in motion. So, this distance of 500 meters is to be covered by both the car and the bus together.
Here both the car and the bus are moving in the same direction.
Thus, the relative speed = Speed of the car – Speed of the bus = (60 - 35) = 25 km/hr
25 km/hr = 25 X (5/18) m/s = 125/18 m/s
At the relative speed of 125/18 m/s time taken to cover the distance of 500 meters = 500/(125/18)= 72 seconds