A boat covers 24 km upstream and 36 km downstream in 6 hours while it covers 36 km upstream and 24 km downstream in 6½ hours. What is the speed of the current?
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Let speed of boat and current be x and y km/h.
Therefore, Speed of boat Upstream = (x - y) km/h
And speed of boat downstream = (x + y km/h
Therefore, 24/x−y+36/x+y=6 ...(i)
and 36/x−y+24/x+y=132 ...(ii)
On solving Eqs. (i) and (ii), we get
x = 10 and y - 2
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