Question 19788
total time alloted is 1 hour
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speed of the current=4 kmph
speed of the boat=12 kmph
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Upstream:
let the distance be x
speed=12-4 (since the boat and current will be in opposite directions)
=8 kmph
time=distance/speed=(x/8)hour
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Downstream:
the distance will be equal to the distance it goes upstream
so distance=x
speed=12+4 (since boat and current will both be in the same direction)
=16 kmph
time=distance/speed=(x/16)hour
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total time=(time upstream)+(time downstream)
1=(x/8)+(x/16)
1=(2x+x)/16
1=3x/16
16=3x
x=16/3 km
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so he should go (16/3)km before turning around
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Hope this helps,
Prabhat