A motor boat whose speed is 9 km/hr in still water, goes 15 km downstream and comes back in a total time of 3 hours 45 minutes. Find the speed of the stream
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Step-by-step explanation:
Let the speed of stream be x .
15/(9+x) + 15/(9-x) = 3.75
4/(9+x) + 4/(9-x) = 1
4(9-x) + 4(9+x) = 81 - x²
36 - 4x + 36 +4x = 81-x²
72 = 81 - x²
x² = 9
x = ± 3
Speed of stream = 3 because speed cannot be negative.
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