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
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> 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
Log On
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
