what is the speed of each plane?

Algebra
Tutor: None Selected Time limit: 1 Day

Two planes, which are 1730 miles apart, fly toward each other. Their speed differ by 65 mph.if they pass each other in two hours, what is the speed of each?


Sep 24th, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

Let's write down what we know, we have two planes traveling

Their total distance apart is 1730 miles apart,

Their speed differs by 65 mph

Let's think of plane 1 as stationary, and plane 2 traveling

Let's call both their speeds s

then s+s+65=2s+65.

Well they will pass each other in 2 hours, so you take

2(2s+65)=1730 (solve for s)

4s+130=1730

4s=1600

s=400.

We know that the total of their two speeds is as follows

s+65=?

400+65=465.

Thus one plane is going 400 miles per hour, and the other is 465 miles per hour.


Check your work!

Well

plane 1 is going

400 mph x 2hrs=800 miles

plane 2 is going

465 mph x 2 hours=930 miles

If you add these two together, you want to get 1730

800+930=1730! Yay! We got the right answer.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 24th, 2015

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