SOLUTION: Josh plans to run a 12.2 mile course. For the first 8.4 miles he plans to run at a slower pace, and then he plans to speed up by 2 mph for the rest of the course. What is the slo

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Question 822394: Josh plans to run a 12.2 mile course. For the first 8.4 miles he plans to run at a slower pace, and then he plans to speed up by 2 mph for the rest of the course. What is the slower pace Josh will need to run for the first part of the course in order to complete the entire course in 2 hours?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Josh plans to run a 12.2 mile course.
For the first 8.4 miles he plans to run at a slower pace, and then he plans to speed up by 2 mph for the rest of the course.
What is the slower pace Josh will need to run for the first part of the course in order to complete the entire course in 2 hours?
:
Let s = the slower pace, first 8.4 mi
then
(s+2) = the faster pace, last 3.8 mi
:
Write a time equation; time = dist/speed
8.4%2Fs + 3.8%2F%28%28s%2B2%29%29 = 2
solve for s