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two trains leave the station at the same time, one heading east and the other west. the eastbound trains travels at 110 miles per hour. the westbound train travels at 90 miles per hour. how long will it take for the two trains to be 440 miles apart do not do any rounding.

Sagot :

Explanation

We are given the following data:

[tex]\begin{gathered} \text{The Eastbound train travels at 110 miles per hour} \\ \text{The Westbound train travels at 90 miles per hour} \end{gathered}[/tex]

The question asks that we get how long it will take for the two trains to be 440 miles apart

Thus, in answering the question, we will find the relative speed of the two trains

The relative speed will be

[tex]\begin{gathered} +110-(-90) \\ =200\text{ miles per hour} \end{gathered}[/tex]

Next, to get how long will it take for the two trains to be 440 miles apart

To get the time, we will use the formula below

[tex]\text{time}=\frac{\text{distance}}{\text{speed}}[/tex]

Thus

[tex]\begin{gathered} \text{time}=\frac{440\text{miles}}{200\text{miles/hr}} \\ \\ \text{time}=2.2\text{ hours} \end{gathered}[/tex]

Thus, in 2.2 hours, the two trains will be 440 miles apart

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