SOLUTION: A military tanker left Stapleton Airport at 2:30 pm flying south at 575 mph. An hour and a half later, a bomber left the airport on the same course flying at 800 mph. At what time

Question 553941: A military tanker left Stapleton Airport at 2:30 pm flying south at 575 mph. An hour and a half later, a bomber left the airport on the same course flying at 800 mph. At what time will the two planes meet for midair refueling?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance the bomber flies until they meet
Let = time from 4:00 PM until they meet
In 1.5 hrs, the tanker gets a head start of
mi
Start a stopwatch when the bomber leaves at 4:00 PM
-------------------
Bomber's equation:
(1)
Tanker's equation:
(2)
( note they are both flying for the same time on stopwatch )
Substitute (1) into (2)
(2)
(2)
(2) ( continuing decimal )
This is 3 hrs and 50 min on stopwatch
They meet at 4:00 PM + 3 hrs 50 min = 7:50 PM
check answer:
(1)
(1)
and
(2)
(2)
(2)
OK

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