Question

While cycling along the wind, a boy can cover a distance of 30 km in 3 hours and for returning
back through the same distance he takes 5 hours. Find the speed of wind and the speed of cycling
in still air​

Answer 1

According to question

Let speed of Cyclic in Still Air be u

and Speed of Air be v

Thus,

While cycling long the wind

Speed = v+ u

and given that x = 30 Km

when t = 3 hrs

So, v+ u = 30/t

v + u = 30 / 3 = 10

So v + u = 10

Similarly

while cycling in opposite direction

Speed = v - u

So

v - u = 30/5

v - u = 6

Thus equating the above two equations

2v = 16

v = 8

So u = 2

Answer is 2.

The speed of wind and the speed of cycling

still air is 2 km