A man travels by train at the speed of 25 km/hr and comes back by foot at the speed of 4 km/hr. If he takes total 5 hours 48 min for travel the whole journey, then find distance (in km) .

20

Speed = \(\frac{Distance}{Time}\)

1hour = 60 min

5 hour 48 min = ( 5 + \(\frac{48}{60}\) ) hr = \(\frac{29}{5}\) hr

Let distance = x km 

According to question , 

\(\frac{x}{25}\) + \(\frac{x}{4}\) = \(\frac{29}{5}\) hr

\(\frac{29x}{100}\) = \(\frac{29}{5}\) hr

 x = 20 km