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?

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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.

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