Question

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 100 miles per hour. the eastbound train travels at 80 miles per hour. how long will it take for the two trains to be 504 miles apart?

Answer 1

`\large\bf{\underline{\underline{\mathfrak{Given}:}}}`

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 100 miles per hour. the eastbound train travels at 80 miles per hour.

`\large\bf{\underline{\underline{\mathfrak{To\:find}:}}}`

How long will it take for the two trains to be 504 miles apart?

`\large\bf{\underline{\underline{\mathfrak{Soluton}:}}}`

As we have given that,

`:{\Longrightarrow{\small{\rm{Westbound\:train\:travels=100\:miles/hr}}}}`

`:{\Longrightarrow{\small{\rm{Eastbound\:train\:travels=80\:miles/hr}}}}`

The their combined speed would be:

`:{\Longrightarrow{\small{\rm{100+80\:miles/hr}}}}`

That is,

`:{\Longrightarrow{\small{\rm{180\:miles/hr}}}}`

Now,

The given distance is 504

We know that,

`{\boxed{\small{\rm{Time=(Distance)/(Speed)}}}}`

By putting the values in the formula we get,

`:{\implies{\small{\rm{Time=(504)/(180)}}}}`

`:{\implies{\small{\rm{Time=2.8\:hours}}}}`