A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is?
- 1:02
- 3:01
- 2:01
- 1:03
Explanation
Given: Time downstream is half the time upstream.
Let:
- Speed of boat in still water = b
- Speed of current = c
Speed downstream = b + c
Speed upstream = b - c
Time ∝ 1 / Speed
Given: Time downstream = (1/2) × Time upstream
=> 1/(b + c) = (1/2) × 1/(b - c)
=> 2/(b + c) = 1/(b - c)
=> 2(b - c) = b + c
=> 2b - 2c = b + c
=> 2b - b = c + 2c
=> b = 3c
=> b : c = 3 : 1
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