Question

the motorboat whose speed is 24 km per hour in still water takes 1 hour more to go 32 km upstream and then to return downstream to the same spot find the speed of the stream

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Solution :-

Let the speed of stream be x km/h.

Speed of boat = 24 km/h.

According to the Question,

⇒ 32/(24 - x) - 32/(24 + x) = 1

⇒ 32(24 + x) - 32(24 - x) = (24 + x)(24 - x)

⇒ 64x = 576 - x²

⇒ x² + 64x - 576 = 0

⇒ x² + 72x - 8x - 576 = 0

⇒ x(x + 72) - 8(x + 72) = 0

⇒ (x - 8)(x + 72) = 0

⇒ x = 8, - 72 (As speed can't be negative)

⇒ x = 8 km/h

Hence, the speed of stream is 8 km/h.