SOLUTION: How do I set this up as an equation and explain it to my child? You jog at a speed of 6 miles per hour for 20 minutes, and you walk at a speed of 4 miles per hour for t minutes.

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Question 394678: How do I set this up as an equation and explain it to my child?
You jog at a speed of 6 miles per hour for 20 minutes, and you walk at a speed of 4 miles per hour for t minutes. If your combined jogging and walking distance is 3 miles, for how long did you walk?
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

D = r*t  (how fast for how long tells us how far)

Total distance is 3 miles.

Note: we need to compare apples to apples when using the distance formula  

If speed is in mph, then time must be expressed in hours. 20min = 20/60 = 1/3 hr

Questions states***

    jogging  + walking

 6mph*(1/3)hr + 4mph*t = 3miles

solving for x

 2 mi + 4mph*t = 3mi

        4mph*t = 1mi

         t = (1/4)hr, time spent walking 

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 You jog at a speed of 6 miles per hour for 20 minutes, and you walk at a speed of 4 miles per hour for t minutes. If your combined jogging and walking distance is 3 miles, for how long did you walk?

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

Jogging DATA:

rate = 6 mph ; time = 1/3 hr ; distance = (1/3)6 = 2 miles

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

Walking DATA:

rate = 4 mph ; time = t/60 hrs ; distance = 4(t/60) = t/15 miles

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

Equation:

dist + dist = 3 miles

2 miles + t/15 = 3 miles

t/15 = 1 

t = 15 (# of minutes you walked)

=====================

Cheers,

Stan H.

 

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