SSC Selection Post 2024 PYQ — Question 66

SSC Selection Post - Graduation Level - 24 June 2024 - Shift 3 • Quantitative Aptitude • Q66

A boat covers a certain distance downstream in 2 hours, while it returns back in 212\frac{1}{2} hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 27 km/h.

Let the speed of the boat in still water = x km/h

2(x + 3) = 2122\frac{1}{2}(x - 3) = 2.5(x - 3)

⇒ 2x + 6 = 2.5x - 7.5

⇒ 0.5x = 13.5

⇒ x = 13.5/0.5 = 27 km/h