find the walking and jogging rates

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

you walk 4 miles on an indoor track. then you jog at twice your walking speed for another 4 miles. if the total time spent walking and jogging is 3 hours, find the walking and jogging rates

May 12th, 2015

let your walking rate be x m/hr, 

So the jogging rate will be 2x m/hr since it is twice the walking rate.

Time taken when walking is  given by distance traveled divided by walking rate:

4/x  hrs


Time taken when jogging  is  given by distance covered divided by jogging  rate or speed:

4/2x hrs

 The total time  taken  3 hrs

so 4/x + 4/2x = 3

(8+4)/2x = 3

12/2x = 3

12 = 6x

so x  is 2 m/hr, which is walking rate.

Jogging rate was twice the walking rate, so it is 4 m/hr.

Hope this helps! Please best me if it does or ask questions if you are not satisfied!

May 12th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
May 12th, 2015
May 12th, 2015
Aug 18th, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer