SOLUTION: Trais made a business trip of 234 miles. He averaged 54 mph for the first part of the trip and 60 mph for the second part. If the trip took 4 hours, how long did he travel at eac
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Question 523129: Trais made a business trip of 234 miles. He averaged 54 mph for the first part of the trip and 60 mph for the second part. If the trip took 4 hours, how long did he travel at each rate?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a business trip of 234 miles. He averaged 54 mph for the first part of the trip and 60 mph for the second part.
If the trip took 4 hours, how long did he travel at each rate?
:
Let t = travel time at 60
then
(4-t) = travel time at 54
:
Write a distance equation: dist = speed * time
:
dist at 60 + dist at 54 = 234 mi
60t + 54(4-t) = 234
60t + 216 - 54t = 234
60t - 54t = 234 - 216
6t = 18
t = 18/6
t = 3 hrs at 60 mph
then
4 - 3 = 1 hr at 54 mph
:
:
Check by finding the distance at each speed
3*60 = 180
1*54 = 54
-----------
total: 234 mi
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