Question

Ritu can row downstream 20 km in 2 hours and upstream 4 kilometre in 2 hours find the speed of drawing in still water and the speed of the current​

Answer 1

SOLUTION

✰Let speed of rowing in still water= xkm/h

✰Let the speed of current = Y km/ h

✰So, speed of rowing downstream = (x+y)km/h

✰ And ,speed of rowing upstream = (x-y)km)/h

According to the Question

$\implies \frac{20}{x + y} = 2 \: and \: \frac{4}{x - y} = 2$

⟹. 2x+2y=20 and 2x-2y= 4 -----(ii )

Adding (i ) and (ii ) Equation

We get ,

y = 4

Putting the value of y in Eq ---- ( i)

⟹2x+ 2×4 = 20

⟹2x= 20-8

⟹2x= 12

$\implies \frac{12}{2}$

⟹x= 6

speed of rowing in still water = 6 km/h

$\therefore \: speed \: of rowing \: in \: still \: water = 6 km/h \:$

Speed of current = 4 km/ h