A motor boat whose speed in still water is 5km/hr,tajes 1hr more to go 12km upstream than to return downstream to the same spot. Find the speed of the stream
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A motor boat whose speed in still water is 5km/hr,tajes 1hr more to go 12km upstream than to return downstream to the same spot. Find the speed of the stream
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Answer:
1 kmph
Step-by-step explanation:
let the speed of the stream be x kmph
there fore the speed upstream will be 5-x
and the speed downstream will be 5+x
we know time = distance/speed
the difference between the up and down times is 1 hour
therefore
1 = 12/5-x - 12/5+x
1 = 12(5 + x - 5 + x)/5^2 - x^2
25 - x^2 = 12(2x)
x^2 + 24x - 25 = 0
x^2 + 25x - x - 25 = 0
x(x + 25) -1(x + 25) = 0
x = 1 and x = -25
but speed cannot be negative
therefore the speed of the stream is 1 kmph
Answer:
see attachment for ur question