a motor boat whose speed is 18 km/hr in still water takes 1 hr more to go 24km upstream than to return downstream to the same spot. find the speed of the stream.
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x^2+48x-326=0
x^2+-6x+54x-326=0
x(x-6)+54(x-6)=0
(x+54) (x-6)
x^2+-6x+54x-326=0
x(x-6)+54(x-6)=0
(x+54) (x-6)
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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 .
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