# Puzzle 19) Anuj and Train

Submitted by Amit Shukla, on August 18, 2017

Puzzle

Anuj lives 40 km far from his work place. He commonly uses local trains to travel between his home and his work place. One day Anuj late for his train If Anuj walks at the rate of 5 km / h, he misses the train by 6 minutes. However, if he walks at the rate of 6 km / h, he reaches the station 6 minutes before the arrival of the train. Find the distance between his house and station.

Important points of puzzle:

1. Anuj lives 40 km far from his work place.
2. He uses local train to travel between work place and home.
3. One day Anuj late for his train.
4. If he walks at the rate of 5 km / h, he misses train by 6 minutes.
5. If he walks with 6 km / h, he reached 6 minutes before the arrival time.
6. Find the distance between his home and station.

6 km

Reason

Let the required distance be x km.
Then the difference between time taken @ 5kmph & @ 6kmph is 12 minutes i.e. 1/5 hour. Therefore, X/5 – X/6 = 1/5
6x – 5x = 6
x = 6 km.