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Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

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Let the speed of her rowing in still water be ‘a’ and speed of current be ‘b.’

We know, speed = \(\frac{distance}{time}\)

Relative speed of boat going upstream = a – b

Relative speed of boat going downstream = a + b

Given,

Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours

⇒ a + b = 20/2 = 10 ---- (1)

and a – b = 4/2 = 2 ------ (2)

Adding eq1 and eq2

⇒ 2a = 12

⇒ a = 6 km/hr

Also,

b = a – 2 = 4 km/hr

Therefore,

Her speed of rowing in still water is 6 km/h and the speed of the current is 4 km/h

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