A boat goes downstream and covers a distance between two ports in 2 hours 30 minutes, while it covers twice of the previous distance when goes upstream in 6 hours. If the speed of stream is 3 km/hr, then find the speed of boat.
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Answer:
Let the distance between two port be
′
x
′
km.
And speed of boat in still water be
′
S
′
km/hr.
According to question,
In downstream,
x=(S+2)x4 (1) as, (Distance= Speed x Time)
Similarly,
In upstream,
x=(S−2)x5 (2)
From (1) & (2),
(S+2)4=(S−2)5
=> 4S+8=5S−10
=> S=18 km/hr.
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