SSC GD 2019 PYQ — Question 68

SSC GD Constable (English) - 1 March 2019 Shift 2 • Quantitative Aptitude • Q68

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 60 km away from point A, at the same time. On the way, however, the train lost about 12.5 min while stopping at the stations. The speed of the car is :

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 96 km/h

We know that,

Speed = Distance/time

Let the speed of car is x.

So, the speed of train is 1.5x.

Now,

Time taken by Car = Time taken by Train

⇒ 60/x = 60/1.5x + 12.5/60

⇒ 90/1.5x = 60/1.5x + 0.3125x/1.5x

⇒ x = 30/0.3125 = 96 km/h