A man travelled a certain distance by train at the rate of 25 kmph. and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, the distance was:
Q. A man travelled a certain distance by train at the rate of 25 kmph. and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, the distance was:
Answer: 20 km
Notes: Let the distance be x km. Total time = 5 hours 48 minutes $latex = 5+\frac{48}{60} = \left ( 5+\frac{4}{5} \right )hours&s=1$ $latex = \frac{29}{5}hours&s=1$ $latex \therefore \frac{x}{25}+\frac{x}{4} = \frac{29}{5}&s=1$ $latex => \frac{4x+25x}{100} = \frac{29}{5}&s=1$ $latex => 5\times 29x = 29\times 100$ $latex => x = \frac{29\times 100}{5\times 29} = 20km.&s=1$ Hence option [B] is the right answer.