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Question 84
A man can row a distance of 900 metres against the stream in 12 minutes and returns to the starting point in 9 minutes. What is the speed (in km/h) of the man in still water?
Solution
Distance = 900/1000 = 0.9 km
Time = 12/60 = 1/5
Let the speed of stream be u and speed of boat be v.
Speed in upstream,
v - u = $$\frac{0.9}{1/5}$$ = 4.5 ---(1)
Speed in downstream,
v + u = $$\frac{0.9}{9/60}$$ = 6 ---(2)
Eq (1) + (2),
2v = 10.5
v = 5.25 = $$5 \frac{1}{4}km/hr$$
Speed of the man in still water is $$5 \frac{1}{4}km/hr$$.
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