SOLUTION: As part of an exercise regiment, you walk 2 miles on an indoor track. Then you jog at twice your walking speed for another 2 miles. If the total time spent walking and jogging is

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Question 22899: As part of an exercise regiment, you walk 2 miles on an indoor track. Then you jog at twice your walking speed for another 2 miles. If the total time spent walking and jogging is 1 hour, find the walking and jogging rates.
I made a table d r t
walking 2mi x 40mi
running 2mi 2x 20mi
but I cannot make it come out right.
Answer by rapaljer(4551) (Show Source):
You can put this solution on YOUR website!
Let x = walking rate
2x= jogging rate

D=RT, so

Total time = Time walking + Time jogging = 1 hour

Reduce the fraction above:

Common denominator of x, so add numerators:

So, x = 3 mph walking speed.
2x = 6 mph jogging speed.

It checks since time walking = = 2/3 hours
Time jogging = = 1/3 hours
Total time = 2/3 + 1/3 = 1 hour

R^2 at SCC