A boat takes 3 hours to travel to a certain distance with the stream, and returns to the original place in 5 hours.How long it will take to travel the same distance in stationary water?
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LET THE SPEED OF THE BOAT IN STREAM BE Y
THE SPEED OF THE CURRENT OF THE WATER = X
THE DISTANCE TRAVELLED BY BOAT BE WITH STREAM
D= (X+Y)3
=>X+Y=D/3..............(1)
THE DISTANCE TRAVELLED BY BOAT BE AGAINST STREAM
D= (Y-X)5
=>X-Y=D/5
NOW ADDING (1)+(2)
WE GET
y=4D/15
THE SPEED OF THE BOAT IN STILL WATER =
4D/15
THE TIME REQUIRED TO COVER THE DISTANCE IN STILL WATER = D÷4D/15=15/4=3.75
IE THE REQUIRED ANSWER IS 3.75 HRS
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