SOLUTION: Hi.Troy and Phil agree to meet at the movies.Phil drives 24 miles while troy rides his bike the 5 miles from his house at a speed of 15 miles per hour.If troy left 15 minutes later

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Question 255290: Hi.Troy and Phil agree to meet at the movies.Phil drives 24 miles while troy rides his bike the 5 miles from his house at a speed of 15 miles per hour.If troy left 15 minutes later than Phil and they arrived at the theater at the same time, how fast did phil drive?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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.Troy and Phil agree to meet at the movies.Phil drives 24 miles while troy rides his bike the 5 miles from his house at a speed of 15 miles per hour.
If troy left 15 minutes later than Phil and they arrived at the theater at the same time, how fast did phil drive?
:
Let s = Phil's speed
Change 15 min to 1/4 hr
:
Write a time equation; Time = dist/speed
:
P's time = T's time + 15 min
24%2Fs = 5%2F15 + 1%2F4
Multiply equation by 60s, results
60(24) = 4s(5) + 15s
:
1440 = 20s + 15s
:
1440 = 35s
s = 1440%2F35
s = 41.14 mph is Phil's speed
:
:
Check solution by finding the travel time of each
24/41.14 = .583 hr
15/5 = .333 hr
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difference .25 hr (15 min)