Question

A man can swim downstream at 10 kmph and upstream at 4 kmph. Find the speed of the man in still water and the speed of the current respectively. ​

Answer 1

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

Let the man’s speed in still water be x km/hr and speed of the current be y km/hr.

Speed of the man downstream = x+y = 10 km/hr

Speed of the man upstream = x-y = 4 km/ hr

Subtracting equation 2 from 1 ,

2y = 6

y = 3km/hr

x= 10–3 = 7km/hr

Speed of the man in still water = 7 km/hr

Speed of the current = 3 km/ hr.

Step-by-step explanation:

Hope this answer will be helpful..