SOLUTION: Two planes just took off from Salt Lake City, UT. The first plane is traveling 4 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 1590

Question 956108: Two planes just took off from Salt Lake City, UT. The first plane is traveling 4 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 1590 miles apart. What is the average speed of each plane?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance in miles the slower plane flies in hrs
Let = distance in miles the faster plane flies in hrs
Let = the speed in mi/hr of the slower plane
= the speed in mi/hr of the faster plane
------------------------------------------
Equation for slower plane:
(1)
Equation for faster plane:
(2)
------------------------
Substitute (1) into (2)
(2)
(2)
(2)
and

----------------
The average speed of the slower plane is 106 mi/hr
The average speed of the faster plane is 424 mi/hr
----------------
check:
(1)
(1)
and
(2)
(2)
(2)
OK

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