SSC GD 2023 PYQ — Question 51

SSC GD Constable (English) - 11 Jan 2023 - Shift 2 • Quantitative Aptitude • Q51

A bus can run 20% faster than a bike. Both start from the same place at the same time and reach the same destination 60 km away at the same time. On the way, however, the bus stops at the stations for 10 minutes. The speed of the bike is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 60 km/h 

A bus can travel 20% faster than a bike.

Let the speed of the bike be x km/hr

Speed of bus = 120x/100 = 6x/5 km/hr

According to the question -

⇒ 60/x - (60 × 5)/6x = 10/60

⇒ 60/x - 50/x = 1/6

⇒ 10/x = 1/6

x = 60 km/hr