Question

A man went to market at a speed of 4 km/h and returned at a speed of 3km/h. If he took 30 minutes more in returning, find the distance of the market from his home.

Answer 1

Let the distance of the market from his home = x km.
Speed = 4 km/h

Time taken = `x/(4)"hrs"`

Also, distance of the market to home = x km.
Speed = 3 km/h

Time taken = `x/(3)"hrs"`

As per the condition, he took 30 minutes more in returning from the market.

`x/(3) - x/(4) = (30)/(60)`

⇒ `(4x - 3x)/(12) = (1)/(2)`

⇒ `x/(12) = (1)/(2)`
⇒ x = 6km.