SOLUTION: Jennifer is going to clean up her room. If her work rate of this job is 5/7 per hour, how long will it take her to clean her room? Your answer is supposed to have the form h hour

Algebra ->  Human-and-algebraic-language -> SOLUTION: Jennifer is going to clean up her room. If her work rate of this job is 5/7 per hour, how long will it take her to clean her room? Your answer is supposed to have the form h hour      Log On


   



Question 35175: Jennifer is going to clean up her room. If her work rate of this job is 5/7 per hour, how long will it take her to clean her room? Your answer is supposed to have the form h hour and m minutes, where h and m are positive integers. Put h in the 1st box with the unit hr, and put m in the 2nd box with the unit min.
Answer by stanbon(75887) About Me  (Show Source):
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Jennifer is going to clean up her room. If her work rate of this job is 5/7 per hour, how long will it take her to clean her room? Your answer is supposed to have the form h hour and m minutes, where h and m are positive integers. Put h in the 1st box with the unit hr, and put m in the 2nd box with the unit min.

Let "x" be the number of hours it takes her to clean her room.
Her rate multiplied by the amount of time to finish the job = 1 job done
By the way her rate means (5 jobs/ 7 hrs) or (5/7)job/hr.
EQUATION:
rate*time = job
[(5/7)job/hr][x hr] = 1job
Multiply both side by 7/5 to get
x = (7/5) hrs.
(7/5) (60 minutes) = 84 minutes = 1 hr. and 24 minutes
Cheers,
Stan H.