Ritu can row downstream 20km in 2hours and upstream in 2hours.
Find her speed of rowing in still water and the speed of the current.
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Question:-
Ritu can row downstream 20km in 2hours and upstream in 2hours.
Find her speed of rowing in still water and the speed of the current.
Answer:-
The speed of Ritu in still water is 6 km/hr and the speed of the current is 4 km/hr.
Please refer to the attachment for better understanding.
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GIVEN
Ritu can row
- Downstream 20km in 2hours
- Upstream 20km in 2 hours.
TO FIND
- Find speed of rowing in still water and the speed of the current.
SOLUTION
- Let the speed of boat in still water be x km/hr.
- Let the speed of current by y km/hr.
- Speed downstream = x + y
- Speed upstream = x - y
Ritu can row downstream 20km in 2hours
Speed = distance/time
=> x + y = 20/2
=> x + y = 10 _(i)
Ritu can row upstream 20km in 2 hours.
Speed = distance/time
=> x - y = 20/2
=> x - y = 10 _(ii)
Subtracting Eq. (i) and (ii) we get,
- 2x = 20
- x = 10
Now, putting the value of x in Eq. (i).
- x + y = 10
- 10 + y = 10
- y = 10 - 10
- y = 0
Hence, Speed of boat in still water x is 10 km/hr. and Speed of stream y is 0 km/hr.
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