Pratik takes 8 hours to travel 136 km downstream and return to same spot.the speed of boat in still water is 12 km.per hour .find the speed of water current
tiwaavi:
Can u Please search the Question again, I think the Distance will be 36 km, instead of 36 km.
*136 km
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Let the speed of Water current be y km/h
Given speed of Boat in still water 12 km/h
then,
Time taken to travel 136 km upstream and 136 km downstream is 8 hours
so,
because time= distance/ speed
=> 136/(12-y) + 136/(12+y) = 8
=> y²= 144 - 1.412
=> y=11.94 km/h
so the speed of the stream is 11.94 km/h
Given speed of Boat in still water 12 km/h
then,
Time taken to travel 136 km upstream and 136 km downstream is 8 hours
so,
because time= distance/ speed
=> 136/(12-y) + 136/(12+y) = 8
=> y²= 144 - 1.412
=> y=11.94 km/h
so the speed of the stream is 11.94 km/h
How it cn possible
Answer is wqrong
You are right brother , I made a mistake in 1st step, i subtracted two terms instead of adding them, Sorry my bad
When The Distance is 36km, we can replace 36 for 136 in the first step,
then the equation will become y^2 = 144 - 108; And the answer will be y = 6 km/h, so the speed of the stream would be 6km/h
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