Keerthana
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A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream ?

a

9 km/h

b

4 km/h

c

5.6 km/h

d

4.5 km/h

Answer : Option D
Explanation :

Speed in still water = x km/h

Speed of current = y km/h

x+y=1460=15 herefore x+y=frac{1}{frac{4}{60}}=15

xy=11060=6x-y=frac{1}{frac{10}{60}}=6

herefore Speed of current =12[(x+y)(xy)]=frac{1}{2}[(x+y)-(x-y)]

=12(156)=92=4.5 km/h=frac{1}{2}(15-6)=frac{9}{2}=4.5 mathrm{~km} / mathrm{h}

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