3.
A boat travels 30 km upstream in a river in the same period of time as it takes to
travel 50 km downstream. If the speed of river current is 5 km/h, find the speed of
the boat in still water.
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Let the speed of boat be (x−5) in upstream and (x+5) in downstreams
s = t/d (or) t = d/s
⇒ 30 / 5 = 6hours and 50 / 5 = 10hours
then the equation will be 6(x+5) = 10(x−5)
6x+30=10x−50
⇒10x−6x=30+50
⇒4x=80
⇒x= 80 / 4 = 20
speed of the boat in still water is 20kmph
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