A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:
Let's assume Boat speed in still water = x kmph
and current speed = y kmph.
so boat Upstream speed = (x-y) kmph
Boat Downstream speed = (x+y) kmph
as per the question
(x - y) = 15/5 = 3 km/h ---------------(1)
Given x= 4y (speed of current is 1/4 of boat speed in still water)
so form eq. (1 )
4y-y = 3 => y = 1 kmph so x= 4 km/h
So boat downstream speed (x+y) = 5km/h
=> Time required in downstream = 15/5 = 3h
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Choose the correct option.
A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?
Let the speed of the boat in still water be x kmph. Then,
Speed downstream = (x + 3) kmph, Speed upstream = (x - 3)kmph.
? (x + 3) * 1 = (x -3) * 3/2 ? 2x + 6 = 3x - 9 ? x = 15 kmph.
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