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A train can travel 40% faster than a car. Both the train and the car start from point A at the same time and reach point B, which is 70 km away from point A, at the same time. On the way, however, the train lost about 15 minutes while stopping at stations. The speed of the car in km/h is:

A train can travel 40% faster than a car. Both the train and the car start from point A at the same time and reach point B, which is 70 km away from point A, at the same time. On the way, however, the train lost about 15 minutes while stopping at stations. The speed of the car in km/h is: Correct Answer 80

Given:

A train can travel 40% faster than a car.

Both the train and the car start from point A at the same time and reach point B, which is 70 km away from point A

The train lost about 15 minutes while stopping at stations

Formula used:

Speed = Distance/Time

Calculation:

Let the speed of the car be x

Speed of the train =

⇒ (x × 140/100)

⇒ 140x/100

⇒ 1.4x

Time taken by car to cover 70 km

⇒ 70/x

Time taken by train to cover 70 km

⇒ 70/1.4x

According to the question

⇒ 70/x – 70/1.4x = 15/60

⇒ x = (70 – 50)/1/4

⇒ x = (20 × 4)

⇒ x = 80 km/h

∴ The speed of the car is 80 km/h

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