Question

Two trains leave stations 224 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour whilethe other travels at 85 miles per hour. How long will it take for the two trains to meet?Do not do any rounding.

Answer 1

The distance between two trains is 224 miles.

The speed of one train is 75 miles per hour and the speed of the second train is 85 miles per hour.

The train is moving towards each other. So the relative speed of the train is,

`\begin{gathered} 75-(-85)=75+85 \\ =160 \end{gathered}`

So the distance between trains 224 miles is covered at the speed of 160 miles per hour.

Determine the time after which trains meet each other.

`\begin{gathered} t=\frac{224\text{ miles}}{160\text{ miles/hour}} \\ =1.4\text{ hours} \end{gathered}`

So two trains meet after 1.4 hours.