Question

It takes a passenger train 5 hr less time than it takes a freight train to make the trip from Picture Rock to Rockville

The passenger train averages 78 km/h, while the freight train averages 52 km/h. Find the distance from
Picture Rock to
Rockville

Answer 1

780 km

Explanation:

Let the distance from Picture Rock to Rockville is d km.

Now, the time taken by the passenger train with speed 78 km/hr to cover this distance will be
`(d)/(78)` hours.

Again the time taken by the freight train with speed 52 km/hr to cover the distance will be
`(d)/(52)` hours.

Now, by the condition given we can write
`(d)/(52) - (d)/(78) = 5`

⇒
`d((78-52)/(78 * 52) )=5`

⇒ d = 780 km. (Answer)