Question

A bus is moving with the speed of 30 km/h ahead of a car with a speed of 50 kmph . how many km apart are they if it takes 15 minutes for the car to catch up the bus?

Answer 1

let apart distance be x then distance at speed of 30km/h is 15/2 and travelled with speed of 50km/h is (x plus 15/2) equate the time taken by both and we know that time is same for both. required answer is 5 km

Answer 2

5 km apart if it takes 15 minutes for the car to catch up the bus

Solution:

Given that,

A bus is moving with the speed of 30 km/h ahead of a car with a speed of 50 kmph

Thus,

Relative speed = 50 - 30 = 20 km/hr

how many km apart are they if it takes 15 minutes for the car to catch up the bus?

Now,

Distance between the car and the bus, when the car catches the busis the distance travelled by the car in 15 minutes

Therefore,

$Distance = speed \times time\\\\Distance = 20 \times \frac{15}{60}\\\\Distance = 5\ km$

Thus they are 5 km apart if it takes 15 minutes for the car to catch up the bus

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