SSC MTS 2022 PYQ — Question 53

SSC MTS - 15 July 2022 - Shift 1 • Quantitative Aptitude • Q53

A bus can travel 20% faster than a scooter. Both start from point P at at the same time and reach point Q, 60 km away from the point P, at the same time. On the way, however, the bus lost about 10 minutes while stopping at bus stations, while the scooter did not stop anywhere. What is the speed of the bus?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 72 km/h.

Calculations:

Let the speed of the scooter be 5x

Speed of bus = 6x

Time taken by scooter = 60/5x

time taken by bus = 60/6x

According to the question;

⇒ 60/5x = 60/6x + 10/60

⇒ 60/5x - 60/6x = 1/6

⇒ x = 12

Speed of bus = 12x = 72 km/h