The average speed of a train is five times of the average speed of a car If the difference between t...........

Quant (SSC) Time & distance

The average speed of a train is five times of the average speed of a car. If the difference between the time taken by them to cover a distance of 1260 km is 168 hours then find the time taken by the train will take to cover the same distance?

33.6 hours

42 hours

56 hours

21 hours

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Explanation:

Let the average speed of the car = x km per hour
Then, the average speed of the train = 5x km per hour
According to the question,
1260 /x - 1260/5x = 168
1260 × 4 = 5x × 168
x = 1260 x 4 /5 x 168 = 6
The speed of the train = 5x = 5 × 6
= 30 km per hour
The time it will take to cover 1260 km
= 1260/30 = 42 hrs