SOLUTION: Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 71 /kmh faster than the other. If the two planes are 13,512km apart

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Question 1104491: Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels
71

/kmh
faster than the other. If the two planes are
13,512km
apart after
8
hours, what is the rate of each plane?
rate of faster plane:
rate of slower plane:
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28r%2Br%2B71%29%2A8=13512

-

2r%2B71=13512%2F8

2r=13512%2F8-71

2r=1618

highlight%28r=809%29, the slower plane

highlight%28880%29, the faster plane

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The combined speeds in km/hr of the two planes is 13512%2F8+=+1689.

If the two speeds are x and x+71, then
x%2Bx%2B71+=+1689
2x%2B71+=+1689
2x+=+1618
x+=+809

The speed of the slower plane is 809km/hr; the speed of the faster plane is 809+71 = 880 km/hr.