Question

Although some of today's trains regularly travel at speeds of 200 mph, when it was built the world's fastest regularly scheduled train traveled between the cities of Osaka and Okayama in Japan, a distance of 112 miles, in just one hour. Traveling at this rate, how long would it take to catch up with another train 8 miles ahead of it if the other train is traveling 80 miles per hour?

Answer 1

15 minutes

Explanation:

Given:

Speed of a train ( Train A ) = 112 miles per hour.

Speed of another train ( Train B ) = 80 miles per hour.

Question asked:

Traveling at this rate, how long would it take to catch up with another train

( Train B ) 8 miles ahead of Train A.

Solution:

By using :
`Distance=Speed* Time`

As Train B is 8 miles ahead of Train A means :-

Distance traveled by Train A - Distance traveled by Train B = 8

`112* t-80* t=8\\112t-80t=8\\32t=8`

By dividing both side by 32,

`(32t)/(32) =(8)/(32)`

`t=(8)/(32) \\t=(1)/(4)\ hours`

Now, converting it into minutes,

1 hour = 60 minutes

`(1)/(4)` =
`(1)/(4) *60=15\ minutes`

Hence, it will take 15 minutes to catch up with train B which is running 8 miles ahead of train A.