SSC MTS 2024 PYQ — Question 3

SSC MTS - 17/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q3

A thief steels a bike at 10:30 am and drives it at 50 km/hr. But the thief is found after half an hour. The bike owner started to chase him by another bike at 60 km/hr. The time at which the thief is caught is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 1:30 pm

The thief starts at 10:30 am at 50 km/hr

Owner starts chasing at 11:00 am (after 30 mins) at 60 km/hr

In 30 minutes, thief covers 25 km

Owner gains on thief at 10 km/hr (60 - 50)

Time to catch = 25 ÷ 10 = 2.5 hours

2.5 hours after 11:00 am = 1:30 pm