Question

(1) 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.​

Answer 1

Answer:

Here is solution of your answer

Answer 2

Answer

speed of ritu in still water 6 km /hr

speed of ritu in stream water 4 km/he

Step-by-step explanation:

Let, Speed of Ritu in still water be x km/hr  

Speed of ritu in stream water be y km/hr

Speed downstream =(x+y) km/hr

Speed upstream =(x−y) km/hr

we know, $time=\frac{distance}{speed}$

A.T,Q

$\frac{20}{x+y} =2$

$\frac{4}{x-y} =2$

$20=2(x+y) \\\frac{20}{2} =x+y\\x+y=10 .....(1)\\4=2(x-y)\\\frac{4}{2} =x-y\\x-y=2 .....(2)$

Using elimination method

$x+y=10\\x-y=2$

______

$2x=12\\x=\frac{12}{2} \\x=6$

   Putting x value in equation (2)

$x-y=2\\(6)-y=2\\6-y=2\\-y=2-6\\-y=-4\\y=4$

Hence ,

(x)The speed of Ritu in still water = 6 km/hr

(y)The speed of the current = 4 km/hr.

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