SOLUTION: Please help me solve this problem. Elenore Morales traveled 1600 miles by commercial jet from Kansas City, Missouri, to Spokane, Washington. She then traveled an additional 500

Question 229775: Please help me solve this problem.
Elenore Morales traveled 1600 miles by commercial jet from Kansas City, Missouri, to Spokane, Washington. She then traveled an additional 500 miles on a private propeller plane from Spokane to Billings, Montana. If the speed of the jet was 4 times the speed of the propeller plane and the total time in the air was 6 hours, determine the speed of each plane.
I do not understand how to set up the equation.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Morales traveled 1600 miles by commercial jet from Kansas City, Missouri, to Spokane, Washington.
He then traveled an additional 500 miles on a private propeller plane from Spokane to Billings, Montana.
If the speed of the jet was 4 times the speed of the propeller plane and the
total time in the air was 6 hours, determine the speed of each plane.
:
Let s = speed of the propeller plane
then
4s = speed of the jet
:
Write a time equation, Time =
:
Jet time + prop time = 6 hrs
+ = 6 hrs
:
Multiply equation by 4s to get rid of he denominators, results:
1600 + 4(500) = 6(4s)
1600 + 2000 = 24s
3600 = 24s
s =
s = 150 mph speed of the prop
then
4(150) = 600 mph speed of the jet
;
:
Check solutions
1600/600 = 2.67 hrs
500/150 = 3.33 hrs
-------------------
Total time:6 hrs

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