SOLUTION: Betty and Chris have a system of walking and jogging equal distances through a course in their neighbourhood. They walk at a rate of 6km/h and jog at a rate of 12km/h The total tim

Question 1145633: Betty and Chris have a system of walking and jogging equal distances through a course in their neighbourhood. They walk at a rate of 6km/h and jog at a rate of 12km/h The total time required for them to walk and jog through the course is 2h How long is the course?
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.


Let  "d"  be the walking distance, in kilometers (the same as jogging distance (!) ).


Then the time walking is   hours, while the time jogging is   hours.


Total time is 2 hours


     +  = 2   hours.


It is your basic equation.  (Also called "time" equation)

At this point, the setup is completed.

To solve the equation, multiply both sides by 12


    2d + d = 2*12

    3d     = 24

     d     = 24/3 = 8 kilometers.


Distance walking = distance jogging = 8 kilometers.


The course is  8 + 8 = 16 kilometers long.    ANSWER

Solved.

----------------

Using "time" equation is the STANDARD method of solving such problems.

From my post, learn on how to write, how to use and how to solve a "time" equation.

To see many other similar solved problems, look into the lessons
    - Had a car move faster it would arrive sooner
    - How far do you live from school?
    - Earthquake waves
    - Time equation: HOW TO use, HOW TO write and HOW TO solve it
in this site.

RELATED QUESTIONS
In a survey, 30 people reported that they enjoy some combination of walking, hiking, and... (answered by KMST)

Joe walks 4 miles and jogs 7 miles in a total of 2 hours. If his jogging speed is twice... (answered by ankor@dixie-net.com)

2. Brenda jogs and walks a loop that is 6 km long for exercise every day. Her walking... (answered by Theo)

Dennis and Chris Reed leave simultaneously from the same point hiking in opposite... (answered by algebrahouse.com)

Fitness Fitness For 30 minutes you do a combination of walking and jogging. At the end... (answered by kapilsinghi,harshachittar)

word problem probably a proportion d=rt I am stuck setting it up. As part of an... (answered by stanbon,DrBeeee)

A and B start at 7 a.m. from two towns 37.5 miles apart. A's rate of walking being twice... (answered by mananth)

two people walk on a circular 1 mile track. both walk with uniform speed and meet in 6... (answered by ankor@dixie-net.com)

I don't know what to do first in solving this word problem. It's really confusing me.... (answered by stanbon)