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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = walking rate
2x= jogging rate

D=RT, so T=D%2FR

Total time = Time walking + Time jogging = 1 hour
D%2FR+%2B+D%2FR+=+1
2%2Fx+%2B+2%2F%282x%29=1

Reduce the fraction above:
2%2Fx+%2B+1%2Fx+=+1

Common denominator of x, so add numerators:
3%2Fx=1

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

It checks since time walking = %282+miles%29%2F%283+mph%29 = 2/3 hours
Time jogging = %282+miles%29%2F%286+mph%29 = 1/3 hours
Total time = 2/3 + 1/3 = 1 hour

R^2 at SCC