a motorboat goes downstream and covers a distance in 4 hours while it covers the same distance upstream in 5 hours if the speed of the stream is 3 km per hour .find the speed of the motor boat in still water
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27km/hr
Step-by-Step Explanation:
Let the speed of motorboat be 'x',
The speed of motorboat in downstream = x + 3
The speed of motorboat in upstream = x - 3
Since, Distance = Time × Speed
Therefore,
Distance travelled by speed of x + 3 = 4(x + 3)
Distance travelled by speed of x - 3 = 5(x - 3)
Distance travelled was same so,
4(x + 3) = 5(x - 3)
4x + 12 = 5x - 15
5x - 4x = 15 - 12
x = 27
Therefore, the speed of motorboat is 27km/hr.
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