Q.

If the speed in a downstream is p kmph, and speed in upstream is q kmph, then the speed of current is

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a

12(p+q)kmph

b

12(pq)kmph

c

2(p+q)kmph

d

2(pq)kmph

answer is B.

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Detailed Solution

Let speed at boat in still water =x  km/hr

Let speed of stream =ykm/hr

 given speed of boat in up stream =q

 xy=q(1)

Given speed of boat in down stream =(x+y)km/hr

Solving (1)&(2)

x+y=px  y + =q  __________________      2y=pq

y=12(pq)kmph

 speed of current + (speed of stream)

=12(pq)kmph

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If the speed in a downstream is p kmph, and speed in upstream is q kmph, then the speed of current is