Question 26186: A plane leaves Chicago headed for Los Angeles traveling at 540 mph. One hour later, a second plane leaves Los Angeles headed for Chicago traveling at 660 mph. If the air route from Chicago to Los Angeles is 1800 miles, how long will it take for the first plane to pass the second plane? How far from Chicago will the planes be at that time?
Answer by Paul(988)   (Show Source):
You can put this solution on YOUR website! Let the time be x
FIRST PLANE = 540mph*ORGINAL TIME + 1HOUR
SECOND PLANE = 660mph*ORGINAL TIME
TOTAL DISTANCE = 1800 --> for both planes
540(x+1)+660x=1800
540x+540+660x=1800
1200x=1260
x=1.05
1.05+1=2.05
660(1.05)=693, 540(1.05+1)=1107
Hence, it will take first plane about 2.05h to pass the second plane. At that time the first plane will be 1107m from Chicago, and the second plane will be 693m from Los Angeles.
PAUL.
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