SOLUTION: Two planes leave Newark Airport at the same time. The rate of speed of the northbound plane is 100 mils per faster than that of the Southbound plane. At the end of 5 hrs, the pla

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Question 328336: Two planes leave Newark Airport at the same time. The rate of speed of the northbound plane is 100 mils per faster than that of the Southbound plane. At the end of 5 hrs, the planes are 2000 mils apart. Find the rate of each.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = speed of southbound plane in mi/hr
s+%2B+100 = speed of northbound plane in mi/hr
The are separating at the rate of
s+%2B+s+%2B+100+=+2s+%2B+100
After 5 hrs
2000+=+%282s+%2B+100%29%2A5
2000+=+10s+%2B+500
10s+=+2000+-+500
10s+=+1500
s+=+150
s+%2B+100+=+250
The speeds of the planes are:
southbound: 150 mi/hr
northbound: 250 mi/hr