SOLUTION: A jetliner flew from Chicago to Los Angeles at an average speed of 500 miles per hour. Then it continued on over the Pacific Ocean to Hawaii at an average speed of 550 miles per ho

Question 310696: A jetliner flew from Chicago to Los Angeles at an average speed of 500 miles per hour. Then it continued on over the Pacific Ocean to Hawaii at an average speed of 550 miles per hour. If the entire trip covered 5200 miles and the part over the ocean took twice as long as the part over land, how long did the entire trip take (in hours)?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A jetliner flew from Chicago to Los Angeles at an average speed of 500 miles per hour.
Then it continued on over the Pacific Ocean to Hawaii at an average speed of 550 miles per hour.
If the entire trip covered 5200 miles and the part over the ocean took twice
as long as the part over land, how long did the entire trip take (in hours)?
:
Let t = time from Chicago to L.A.
It said,"the part over the ocean took twice as long as the part over land," therefore:
2t = time over the ocean to Hawaii
and
3t = time for the entire trip
:
Write a distance equation; dist = speed * time
500t + 550(2t) = 5200
500t + 1100t = 5200
1600t = 5200
t =
t = 3.25 hrs from Chi to L.A.
then
3(3.25) = 9.75 hrs Chi to Hawaii
:
:
Check solution by finding the distances
3.25(500) + 2(3.25)(550) =
1625 + 3575 = 5200; confirms our solution
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