Question

A man covered a certain distance at some speed. Had he moved 3 km/h faster, he would have taken 40 min less. If he had moved 2 km/h slower, he would have taken 40 min more. The distance (in km) is

Options

• 35

• `36 2/3`

• 371

• 40

Answer 1

40
Explanation:
Let distance = x km and usual rate = y km/h

Then, `x/y-x/(y+3)=40/60`

⇒ `2y(y+3)=9x`                                       ...(i)

and `x/(y-2)-x/y=40/60`

⇒ `y(y-2)=3x`                                        ...(ii)

On solving Eqs. (i) and (ii), we get

y = 12, x = 40