A person rowing at the rate of 5 km/h in still water, takes thrice as much time in going 40km upstream as in going 40km downstream. Find the speed of the stream.
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Answer:
speed in still water=5 km/hr
Let speed of stream be x km/hr
speed upstream=(x+5) km/hr
speed downstream=(x-5) km/hr
distance=(40+40)km
time upstream=T 1
time downstream=T 2
T 1=40/(x+5)
T 2=40/(x-5)
T 2=3*T 1
40/(x-5)=3*40/(x+5)
40/(x-5)=120/(x+5)
on cross multiplying
40/120=(x-5)/(x+5)
1/3=(x-5)/(x+5)
on cross multiplying
x+5=3 x-15
15+5=3 x-x
20=2x
x=20/2
x=10
Speed of stream 10 km/hr
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