SOLUTION: A person leaves their work and heads home 5km away. They walk at 5km/h during the start but then it starts to rain so they run the rest of the way at 12km/h. They leave at 5:30pm a

Question 1189539: A person leaves their work and heads home 5km away. They walk at 5km/h during the start but then it starts to rain so they run the rest of the way at 12km/h. They leave at 5:30pm and arrives home at 6:09 pm. Create a system of equations. How far did the person run for? How long did the person walk for?
Found 3 solutions by josgarithmetic, ikleyn, Alan3354:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

SPEEDS TIME DISTANCE WALKING 5 13/20-x 5(13/20-x) RUNNING 12 x 12x SUMS 39minutes=(39/60)hour 5 (13/20)hour

Your question asked for a system, but the problem description can be handled with one variable. If you really wanted, you could give another variable to the walking time.

----------------Fifteen minutes running.
------------------Twenty-four minutes walking.

Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.
A person leaves their work and heads home 5km away.
They walk at 5km/h during the start but then it starts to rain
so they run the rest of the way at 12km/h.
They leave at 5:30pm and arrives home at 6:09 pm.
Create a system of equations.
How far did the person run for? How long did the person walk for?
~~~~~~~~~~~~~~~

Let x be the distance the person ran, in kilometers. Then the distance he walked was (5-x) kilometers. Now write the "time equation" time to walk + time to run = 39 minutes, or of an hour + = . To solve it, multiply both sides by 5*12 = 60. You will get 12*(5-x) + 5x = 39 60 - 12x + 5x = 39 60 - 39 = 7x 21 = 7x x = 21/7 = 3. ANSWER. 3 kilometer running and (5-3) = 2 kilometers walking.

Solved.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
How far did the person run for? How long did the person walk for?
---------------
Why for?
=======================
How far did the person run? How long did the person walk?
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