SOLUTION: How do I write and solve an equation for c mows the lawn three times faster than j. How long will it take to finish the job? (do you need the acerage? It would be 2)
Question 272869: How do I write and solve an equation for c mows the lawn three times faster than j. How long will it take to finish the job? (do you need the acerage? It would be 2) Found 2 solutions by Alan3354, solver91311:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! How do I write and solve an equation for c mows the lawn three times faster than j. How long will it take to finish the job? (do you need the acerage? It would be 2)
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3 times faster means it takes 1/4 as long, or j takes 4 times as long.
c takes t hours means c does 1/t of the job per hour.
j takes 4t hours means j does 1/4t per hour.
Toghether, 1/t + 1/4t = 5/4t of the job per hour.
--> 4t/5 hours together.
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PS 3 times faster is 4 times as fast. If someone says it's 3 times as fast, ask how much faster is "1 times faster?"
If 1 times faster is 1x the speed, why would it say "faster?"
Without knowing specifically how long it takes either one of the participants to do the entire job (or some specified portion of the job) all you can tell is the proportional difference between the amount of time it would take j working alone vs. c working alone vs. the two of them working together.
Let represent the number of time periods it would take c working alone. Then represents the number of time periods it would take j working alone.
c can do of the job in one time period. Likewise, j can do of the job in one time period. Then, working together they can do:
of the job in one time period. Hence, they would take:
time periods to do the entire job.
So, however long it takes c to do the entire job by herself is the value of and three-fourths of that is the time it would take the two of them working together.
