SSC CPO 2024 PYQ — Question 109

SSC CPO - 29 June 2024 Shift 2 • Quantitative Aptitude • Q109

The speed of a boat when travelling downstream is 33 km/h, whereas when travelling upstream it is 27 km/h. What is the speed of the boat in still water?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 30 km/h.

Given that, downstream speed = 33 km/h

Upstream speed = 27 km/h

Let the speed of boat in still water and speed of current be x and y respectively.

According to the given question,

⇒ x + y = 33      ....(i)

And x - y = 27   .....(ii)

Adding the equations (i) and (ii),

⇒ 2x = 60

⇒ x = 30

Hence the speed of boat in still water is 30 km/h.