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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Step-by-step explanation:
v--6km/hr carefully see the attachment.
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Speed of boat = 6 Km/hr.
Speed of current = 4 Km/hr.
Upstream speed = x-y = 2 Km/hr.
Downstream speed = x + y = 10 Km/hr.
Step-by-step explanation:
Let speed of boat in still water = x km/hr
Let speed of stream = y km/hr
So Upstream speed = (x - y) km/hr
Downstream speed = (x + y) km/hr.
Given:
Distance / speed = time.
So 20/x+y = 2
2x + 2y = 20
Dividing by 2, we get x + y = 10 -------(1)
4/x-y = 2
2x - 2y = 4
Dividing by 2, we get x - y = 2 -------(2)
Adding (1) and (2), we get: 2x = 12
therefore x = 6
Substituting x in equation 2, we get 6 - y = 2
Therefore y = 4
Speed of boat = 6 Km/hr.
Speed of current = 4 Km/hr.
Upstream speed = x-y = 2 Km/hr.
Downstream speed = x + y = 10 Km/hr.
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