A boat covers 24 km upstream and 36 km downstream in 6 hours while it covers 36 km upstream and 24 km downstream in 6 1/2 hours.The velocity of the current is
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Solution:-Let speed upstream & speed downstream be x km/hr and y km/hr respectively. Then
24/x + 36/y = 6 and 36/x + 24/y = 13/2
=> 24u + 36v = 6 and 36u + 24v = 13/2 (u = 1/x and v = 1/y)
Adding we get
u = 1/8 and v = 1/2
=> x = 8 and y = 12
Velocity of current = 1/2 (12-8) km/hr = 2 km/hr
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