SOLUTION: Both planes were headed from the Outer Boondocks to Timbuktu. Plane #1 traveled at 450 mph and plane #2 at 500 mph. If plane #1 took off 1 hour before plane #2, how many hours di
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Question 1156786: Both planes were headed from the Outer Boondocks to Timbuktu. Plane #1 traveled at 450 mph and plane #2 at 500 mph. If plane #1 took off 1 hour before plane #2, how many hours did it take for plane #2 to catch plane #1?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Plane 1's head start is:
mi
Start a stopwatch when plane 2 takes off
Let = time on stopwatch when
plane 2 catches plane 1
Let = plane 2 travels until it catches
plane 1
----------------------------
Plane 1 equation:
(1)
Plane 2 equation:
(2)
----------------------------
Plug (2) into (1)
(1)
(1)
(1)
It takes plane 2 9 hrs to catch plane 1
-------------------------
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK
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