Jim began a 130 mile bike trip to build up stamina for a triathlon. Unfortunately, his chain broke, so he finished the trip walking. The whole trip took 6 hours. If Jim walks at 3 mph, and rides at 35 mph, how long was he on the bike?
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OpenStudy (anonymous):
@haleyelizabeth2017
OpenStudy (haleyelizabeth2017):
maybe @confluxepic could help...?
OpenStudy (anonymous):
ok thanks
OpenStudy (anonymous):
You need two equations again.
OpenStudy (anonymous):
W=walking and R=riding
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OpenStudy (anonymous):
Good
OpenStudy (anonymous):
3w +35r = 6?
OpenStudy (anonymous):
3w + 35r would reflect the distance you went
OpenStudy (anonymous):
Is that correct?
OpenStudy (anonymous):
No..
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OpenStudy (anonymous):
so 3x+35r=130
OpenStudy (anonymous):
Good...now what will be the second equation that represents time on the bike?
OpenStudy (anonymous):
so do i need to use the substitution method for these two equations?
3w + 35r = 130
w + r = 6
OpenStudy (anonymous):
You got this....very good
OpenStudy (anonymous):
w = 6-r so
3(6-r) +35 r = 130
18-3r + 35r = 130
18 +32r =130
32r + = 112
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OpenStudy (anonymous):
r = 3.5
OpenStudy (anonymous):
so he rode for 3.5 hours and walked for 2.5
OpenStudy (anonymous):
Thanks for the help :) I think I will be able to do it on my own next time!
OpenStudy (anonymous):
Always plug the numbers back in the equation to check your answers..very good and good luck