SSC MTS 2024 PYQ — Question 4

SSC MTS - 14/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q4

Two stations A and B are 1800 km apart. A train starts from A towards B at 7 A.M. at a speed of 100 km/h. Another train starts from B towards A at 8 A.M. on the same day at a speed of 325 km/h. At what time will they cross each other?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 12 P.M.

Distance between A and B = 1800 km

Train 1 starts at 7 AM, speed = 100 km/h

In 1 hour (by 8 AM), Train 1 covers = 100 km

Remaining distance at 8 AM = 1800 – 100 = 1700 km

From 8 AM, both trains move towards each other.

Relative speed = 100 + 325 = 425 km/h

Time to meet = 1700 ÷ 425 = 4 hours

So, they meet at 8 AM + 4 hours = 12 Noon