Question

A swimmer can swim downstream at 14 km/hr and
upstream at 6 km/hr. What is the speed of the
current ?​

Answer 1

YOU cAn rEfEr tHiS ExAMpLe

Answer:

speed of current = 2.5 km/hr

Step-by-step explanation:

Let the speed of the man in still water is x and the speed of current is y.

It has been given that

speed of man in downstream is 10 km/hr. Thus, we have

speed of man + speed of current = 10

x + y = 10...(i)

Now, speed of man in upstream is 5 km/hr. Thus, we have

speed of man - speed of current = 5

x - y = 5...(ii)

Add (i) and (ii)

2x = 15

x = 7.5

Plugging this value in (i)

7.5 + y = 10

y = 10 - 7.5

y = 2.5

Therefore, we have

speed of current = 2.5 km/hr

Answer 2

Answer:

always remember,

speed of man in still water-downstream=-speed of current

and, speed of man in still water +upstream =speed of current

Step-by-step explanation:

let x be the speed of man in still water and y be the speed of current

x-14=-y__1)

x+6=y__2) add 1) and 2)

______

2x-8=0

x=4 and put x in 2)

y=10 hence speed of current is 10km/hr