SOLUTION: In a walkathon to raise money for a charity Elisa walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. Her total time walking and jogging was 2h and 1
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Question 153435: In a walkathon to raise money for a charity Elisa walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. Her total time walking and jogging was 2h and 15 min. How many miles was the walkathon. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! In a walkathon to raise money for a charity Elisa walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. Her total time walking and jogging was 2h and 15 min. How many miles was the walkathon.
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let 3x = miles in the walkathon
then
2x = jogging dist
and
x = walking dist
:
Convert 2 hr 15 min to 2.25 hrs
:
Write a time equation: Time = dist/speed
: + = 2.25 hrs
Multiply equation by 40
8x + 5(2x) = 40(2.25)
:
8x + 10x = 90
:
18x = 90
x =
x = 5 mi walking, 10 mi jogging, hence 15 mi is the walkathon
:
:
Check solution: +
1 + 1.25 = 2.25
