Question

A motor boat whose speed is 18km/hr in still water.It takes 1 hour more to go 24km upstream than to return downstream to the same spot.Find the speed of the stream

Answer 1

Let speed of stream be x km/hr

Speed of boat in still water= 18km/hr

Then, speed of boat to go upstream= 18-x km/hr

And,speed of boat to come down stream= 18+x km/hr

As we know, time=distance÷speed

Given “boat takes 1 hour more to go upstream”,

Then, equation is

24÷18-x - 24÷18+x=1

so, the speed would be

6kmph

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Answer 2

Answer:

Let the speed of stream be x km / hr

For upstream = ( 18 - x ) km / hr

For downstream = ( 18 + x ) km / hr

A.T.Q.

24 / 18 - x - 24 / 18 + x = 1

48 x = 324 - x²

x² + 48 x - 324 = 0

( x + 54 ) ( x - 6 ) = 0

x = - 54 or x = 6

Since speed can't be negative .

Therefore , speed of the stream is 6 km / hr .