SOLUTION: Plane a traveled 1400km Plane b traveled 1000km and 50km/h faster than plane a in 3 hours less time. How fast were the plane going

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Question 369951: Plane a traveled 1400km
Plane b traveled 1000km and 50km/h faster than plane a in 3 hours less time.
How fast were the plane going
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
1400%2Fa+-+1000%2F%28a%2B50%29+=+3, using the formula t = d/r for the two planes and subtracting their times.
1400a%2B70000-1000a+=+3a%5E2%2B150a+,
400a%2B70000+=++3a%5E2%2B150a,
0+=+3a%5E2-250a-70000,
q+=+%283a%2B350%29%28a-200%29, so a = 200 km/hr, the rate of plane a.
250 km/hr, the rate of plane b.