) A person has his own coach&. Whenever he goes to railway station he takes his coach. One day he was supposed to reach the railway station at 5 O'clock. But he finished his work early and reached at 3 O'clock. Then he rung up his residence and asked to send the coach immediately. He came to know that the coach has left just now to the railway station. He thought that the coach has left just now to the railway station. He thought that he should not waste his time and started moving towards his residence at the speed of 3 miles/hr. On the way, he gets the coach and reaches home at 6 o'clock. How far is his residence from railway station. can i hav the procedure

suganya devi

• Jun 20th, 2006

 

 I am not sure about the answer

time=6-3=3

speed=3 miles/hr

Distance=speed*time=9

Vincent Lecluse

• Jun 23rd, 2006

 

Here is the answer.

The coach left the house at 3 o'clock and reach the house at 6 o'clock. Therefore has travelled for 3 hours.

The person was moving towards his residence, and met the coach at some point. From this point the coach move back to his house. Therefore the distance from house to that point and vice versa is the same. Which mean that the car travel from house to that point in 1.5 hours (3 hours / 2)

The coach leave the residence at 3 o'clock to arrive exactly at 5 o'clock. which gives 2 hours of travelling. So the coach had already travelled 1.5 hours and the person has travelled for it's 0.5 hours. The person has traveled for 1.5 hours at a speed of 3 miles / hr. Therefore has made 4.5 miles (1.5 x 3).

The coach was supposed to travelled those 4.5 miles in 0.5 hours. Therefore has a speed of 9 miles / hr (4.5 / 0.5). So the coach was supposed to take 2 hours from residence to railway. Therefor the distance from residence to railway is 18 miles (9 x 2)