SOLUTION: A plane averaging 120 mph and an express train averaging 60 mph depart at the same time from the same city headed for the same destination. If the train arrives 45 minutes later th

Question 216024: A plane averaging 120 mph and an express train averaging 60 mph depart at the same time from the same city headed for the same destination. If the train arrives 45 minutes later then how far did they each travel
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A plane averaging 120 mph and an express train averaging 60 mph depart at the
same time from the same city headed for the same destination.
If the train arrives 45 minutes later then how far did they each travel
:
Find the travel times of the plane and the train
convert 45 min .75 hr
:
Let t = travel time of the plane
then
(t+.75) = travel time of the train
:
They traveled the same dist. Write a dist equation Dist = speed * time
120t = 60(t+.75)
120t = 60t + 45
120t - 60t = 45
60t = 45
t =
t = .75 hrs is the travel time of the plane
then
.75 + .75 = 1.5 hr is the travel time of the train
:
Find the dist
120 * .75 = 90 mi
:
confirm using the train
60 * 1.5 = 90 mi
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