SSC MTS 2024 PYQ — Question 5

SSC MTS - 30/09/2024 - (4:00 PM - 5:30 PM) • Quantitative Aptitude • Q5

The speed of a boat in still water is 13 km/h, and the speed of the stream is 4 km/h. How much more time will it take to go upstream than ingoing downstream a distance of 68 km? (Correct to the nearest minute)

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 3 hours 33 minutes.

The speed of a boat in still water (x) = 13 km/h

The speed of the stream (y) = 4 km/h

Downstream speed = (x + y) = (13 + 4) = 17 km/h

Upstream speed = (x - y) = (13 - 4) = 9 km/h

Total distance (D) = 68 km

Time required to cover 68 km downstream = 68/17 = 4 hours

Time required to cover 68 km upstream = 68/9 = 7.555... hours ≈ 7.55 hours = 7 hours 33 minutes

The difference in time = 7 hours 33 minutes - 4 hours = 3 hours 33 minutes