A boat travels from p to q alone the current and from q to p against the current in 3 hours. If the speed of the boat in still water is 4 kmhr then, what is the distance between p and ?
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Let X be the speed of boat then
upstream speed of boat is (x-1)kph
downstream speed of boat is (x+1)kph
by condition,
4/(x-1)+4/(x+1)=3
4x+4+4x-4=3 (x×x-1)
8x=3x×x-3
=>x=3kph (using splitting middle term )
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