A boat covers 35 km downstream in 2 h and covers the same distance upstream in 7 h.
Find the speed (in km/h) of the boat in still water.
This questions was previously asked in
SSC CGL Tier II Paper 1 (03.03.2023)
Explanation:
- The boat covers 35 km downstream in 2 hours. So, downstream speed = 35 km / 2 hours = 17.5 km/h.
- The boat covers the same 35 km upstream in 7 hours. So, upstream speed = 35 km / 7 hours = 5 km/h.
- Let 'b' be the speed of the boat in still water, and 'r' be the speed of the current.
- Downstream speed = (b + r) = 17.5 km/h.
- Upstream speed = (b - r) = 5 km/h.
- Add the equations to solve for 'b':
- (b + r) + (b - r) = 17.5 + 5
- 2b = 22.5
- b = 11.25 km/h
- Correct Answer: Option 1, 11.25 km/h