SOLUTION: kevin started running the first week in januray. He ran 4 miles 3 days a week. Greg strated running the secong week of january. He ran 3 miles 5 times a week. By the end of what we

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: kevin started running the first week in januray. He ran 4 miles 3 days a week. Greg strated running the secong week of january. He ran 3 miles 5 times a week. By the end of what we      Log On


   



Question 431373: kevin started running the first week in januray. He ran 4 miles 3 days a week. Greg strated running the secong week of january. He ran 3 miles 5 times a week. By the end of what week had they run the same distance?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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kevin started running the first week in januray. He ran 4 miles 3 days a week.
:
Greg strated running the secong week of january. He ran 3 miles 5 times a week.
:
By the end of what week had they run the same distance?
:
Let w = the week that Kevin will have run the same distance as Greg
then
(w-1) = the week that Greg runs the same as Kevin
:
(3*5)(w-1) = (4*3)w
15(w-1) = 12w
15w - 15 = 12w
15w - 12w = 15
3w = 15
w = 15%2F3
w = 5 weeks, they will run the same distance
:
:
Check by finding the actual distances
15(4) = 60 mi
12(5) = 60 mi
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