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
Well they will pass each other in 2 hours, so you take
2(2s+65)=1730 (solve for s)
We know that the total of their two speeds is as follows
Thus one plane is going 400 miles per hour, and the other is 465 miles per hour.
Check your work!
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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