A motor boat whose speed is 24 km/h in still
water takes 1 h more to go 32 km upstream
than to return downstream to the same
spot. Find the speed of the stream.
ann
Answers
Speed never Negative
So speed of stream = 8km/h
please mark my answer brainliest.....
Stream Speed = 8 km/hr
Step-by-step explanation:
Speed of Motor Boat in Still water = 24 km/hr
Speed of the Stream = S km/Hr
Speed of Motor Boat upstream = 24 - S km/Hr
Speed of Motor Boat Downstream = 24 + S km/Hr
Distance = 32 km each side
Time taken upstream = 32/(24 - S) hr
Time Taken Downstream = 32/(24 + S)
32/(24 - S) = 32/(24 + S) + 1
=> 32(24 + S) = 32(24 - S) + (24 + S)(24 - S)
=> 32(24 + S - 24 + S) = 576 - S²
=> S² + 64 S - 576 = 0
=> S² + 72S - 8S - 576 = 0
=> S(S + 72) - 8(S + 72) = 0
=> (S - 8)(S + 72) =0
=> S = 8
Stream Speed = 8 km/hr
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