Question

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​

Answer 1

Speed never Negative

So speed of stream = 8km/h

please mark my answer brainliest.....

Answer 2

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

Learn more:

A boat goes 2km upstream and 3km down stream in 20min it goes ...

https://brainly.in/question/6491842

a motorboat whose speed is 18 km per hour in still water takes 1 ...

https://brainly.in/question/7322647