A motor boat whose speed is 18 kmph in still takes 1 hour more to go 24 km up stream than to return to the same spot. Find the speed of stream
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average speed is equal to Total distance by total time taken
=2 into 2400 by 2 into 60=2*2400/2*60=40 metre per second
I converted all the values into metre per second and metres and seconds
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Answer:
Let the speed of stream be x km / hr
For upstream = ( 18 - x ) km / hr
For downstream = ( 18 + x ) km / hr
A.T.Q.
24 / 18 - x - 24 / 18 + x = 1
48 x = 324 - x²
x² + 48 x - 324 = 0
( x + 54 ) ( x - 6 ) = 0
x = - 54 or x = 6
Since speed can't be negative .
Therefore , speed of the stream is 6 km / hr .
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