SOLUTION: terrell drove to the mountains at an average of 60 miles per hour. his return trip, by the same roads averaged 40 miles per hour his total driving time was 12 hours how far did he

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Question 457053: terrell drove to the mountains at an average of 60 miles per hour. his return trip, by the same roads averaged 40 miles per hour his total driving time was 12 hours how far did he drive one way?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Terrell drove to the mountains at an average of 60 miles per hour.
His return trip, by the same roads, averaged 40 miles per hour.
His total driving time was 12 hours.
How far did he drive one way?
:
Let d = the one-way distance
:
Write a time equation; time = dist/speed
:
To time + Return time = 12 hrs
d%2F60 + d%2F40 = 12
multiply by 120, results
2d + 3d = 120(12)
5d = 1440
d = 1440%2F5
d = 288 mi one way
:
:
Check by finding the actual time for each way
288/60 = 4.8
288/40 = 7.2
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totals: 12 hrs