A man can row 40 km upstream and 55 km downstream in 13 hours also he can row 30 km upstream and 44 ...........

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A man can row 40 km upstream and 55 km downstream in 13 hours, also he can row 30 km upstream and 44 km downstream in 10 hours. Find the speed of the man in still water and the speed of the current.

8 kmph and 2 kmph

8 kmph and 3 kmph

7 kmph and 5 kmph

4 kmph and 7 kmph

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Explanation:

Let rate upstream = x km/hr and rate downstream = y km/hr.
Then, 40/x + 55/y = 13 ... (i) and
30/x + 44/y = 10 .... (ii)
Multiplying (ii) by 4 and (i) by 3 and subtracting,
we get: 11/y = 1 or y = 11
Substituting y = 11 in (i),
we get: x = 5.
∴ Rate in still water = 1/2 (11 + 5) kmph = 8 kmph
Rate in current = 1/2 (11 – 5) kmph = 3 kmph.