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Class 10 > Learn Mathematics > A motor boat whose speed is 18 km/h in still water...
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A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

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Let the speed of the stream be x kmph Then - = 1 Or 24(18+x-18+x) / (324-x^2) = 1 Or 24 x 2x = 324-x^2 Or x^2 +48x -324 =0 Ignoring the negative root, this gives x = 6 kmph Ans
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let speed of the stream=x km/h speed of boat in still water=18km/h upstream=18-x downstream=18+x distance=24km time=1h time of upstream journey=time of downstream journey+1 24/(18-x)=24/(18+x)=1 solve it then x^2+48x-324=0 x^2+54x-6x-324=0 x(x+54)-6(x+54)=0 (x+54)(x-6)=0 x=-54 or x=6 ans=> x=6 speed...
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let speed of the stream=x km/h speed of boat in still water=18km/h upstream=18-x downstream=18+x distance=24km time=1h time of upstream journey=time of downstream journey+1 24/(18-x)=24/(18+x)=1 solve it then x^2+48x-324=0 x^2+54x-6x-324=0 x(x+54)-6(x+54)=0 (x+54)(x-6)=0 x=-54 or x=6 ans=> x=6 speed cannot be negative read less
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