SSC MTS 2024 PYQ — Question 18

SSC MTS - 21/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q18

A boat can travel at a speed of 42 km/hr in still water. If the speed of the stream is 3 km/hr, how much time (in hours and minutes) will be taken by the boat to go 157.5 km downstream, and then 78 km upstream?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e 5 h 30 min.

Downstream speed = 42 + 3 = 45 km/h

Upstream speed = 42 - 3 = 39 km/h

Time for downstream = Distance ÷ Speed = 157.5 ÷ 45 = 3.5 hours

Time for upstream = 78 ÷ 39 = 2 hours

Total time = 3.5 hours + 2 hours = 5.5 hours = 5 hours 30 minutes