Form a pair of linear equations to represent the following situation:
Ritu can row downstream 20km in 2 hours, and 4km upstream in 2 hours.
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Answer:
Let, speed of Ritu in still water be x km/hr
and speed of current be y km/hr
Then speed downstream =(x+y) km/hr
speed upstream =(x−y) km/hr
we know, Time=
Speed
Distance
Then
x+y
20
=2 and
x−y
4
=2
⇒x+y=10 ...(1)
& x−y=2 ...(2)
adding both we get, 2x=12⇒x=6
Thus using (1) y=10−6=4
Hence the speed of Ritu in still water is 6 km/hr and the speed of the current is 4 km/hr.
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