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If reena travels 20km in 2 …

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If reena travels 20km in 2 hours upstream and 4km in 2 hours downstream. What would be the speed of reena in still water and water

Posted by Krishna Arya 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Let speed of ritu in still water = x km/h
Speed of stream = y km/h
Then downstream speed of ritu = x + y
Upstream speed of ritu = x - y
According to question
{tex}\frac{20}{x+y}=2{/tex}
{tex}\Rightarrow{/tex} x +y = 10 .... (1)
Also,
{tex}\frac{4}{x-y}=2{/tex}
{tex}\Rightarrow{/tex} x - y = 2 ..... (2)
Add (1) and (2)
2x = 12
{tex}\Rightarrow{/tex} x = 6
From (1), we get
6 + y = 10
{tex}\Rightarrow{/tex} y = 4
Therefore, Speed of ritu in still water = 6km/h
Speed of stream = 4km/h

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