Ritu can row downstream 20km in 2 hours, and upstream 4km in 2 hours. Find her speed of rowing in still water and the speed of the current.
Question
Ritu can row downstream 20km in 2 hours, and upstream 4km in 2 hours. Find her speed of rowing in still water and the speed of the current.
Solution
Sure, let's solve this step by step.
Step 1: Determine the speed of Ritu in downstream and upstream.
Speed is calculated by dividing the distance by the time. So, for downstream (speed of Ritu + speed of current), it would be 20km / 2 hours = 10 km/h. For upstream (speed of Ritu - speed of current), it would be 4km / 2 hours = 2 km/h.
Step 2: Solve for the speed of Ritu in still water and the speed of the current.
Let's denote the speed of Ritu in still water as 'r' and the speed of the current as 'c'. From the downstream speed, we have the equation r + c = 10. From the upstream speed, we have the equation r - c = 2.
To find 'r', we can add these two equations:
(r + c) + (r - c) = 10 + 2 2r = 12 r = 12 / 2 r = 6 km/h
To find 'c', we can substitute 'r' into the first equation:
6 + c = 10 c = 10 - 6 c = 4 km/h
So, the speed of Ritu in still water is 6 km/h and the speed of the current is 4 km/h.
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