181,916 views
3 votes
3 votes
If two planes leave an airport at the same time with one flying west at 520 miles per hour and the other flying east at 540 miles per hour, how long will it take them to be 3180 miles apart?

User Chausies
by
2.6k points

1 Answer

27 votes
27 votes

SOLUTION:

Step 1:

In this question, we are given the following:

If two planes leave an airport at the same time with one flying west at 520 miles per hour and the other flying east at 540 miles per hour,

how long will it take them to be 3180 miles apart?

Step 2:

Let the distance of one of the planes flying west at 520 miles per hour be:


520\text{ x}

And let the distance of the other plane flying east at 540 miles per hour be:


540\text{ x}

where x , represents the time of flight in hours, such that:


\begin{gathered} 520\text{ x + 540 x = 3180} \\ 1060\text{ x = 3180} \\ \text{Divide both sides by 1060, we have that:} \\ x\text{ = }(3180)/(1060) \\ x\text{ = 3} \end{gathered}

CONCLUSION:

The time it will take them to be 3180 miles apart will be in 3 hours' time.

User Omri Btian
by
2.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.