SOLUTION: Working 8 hours a day a dressmaker takes 18 days to make a number of dresses. How long would it take her to make the same number of dresses if she worked 9 hours a day?

Question 923065: Working 8 hours a day a dressmaker takes 18 days to make a number of dresses. How long would it take her to make the same number of dresses if she worked 9 hours a day?
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Account for total hours. You use hours per day and number of days. You are trying to answer for HOW MANY DAYS.

MORE EXPLANATION:

The problem is a uniform rates type. The number of dresses to make is not given but you must expect that "a number of dresses" is 1 job to be done. The basic rule you would use is RT=J for relating rate time and job amounts. The time T is time in DAYS; the amount of job is an amount J, which you can simply give units as "JOBS", and R is JOBS per DAY.

The best you can really do is to focus on HOURS to do 1 job.
Solve for how many day.

8 hours a day a dressmaker takes 18 days to make a number of dresses.
, the HOURS to do 1 job.
How long would it take her to make the same number of dresses if she worked 9 hours a day?
LET t be how many days using different number of hours per day.
, the HOURS again to do 1 job, but you do not yet know t.
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