SOLUTION: Ana and Beth do a job together in three hours. Working alone, Ana does the job in 5 hours. How long will it take Beth to do the job alone?
A.3 and 1/3 hours
B.2 and 1/3 hours
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-> SOLUTION: Ana and Beth do a job together in three hours. Working alone, Ana does the job in 5 hours. How long will it take Beth to do the job alone?
A.3 and 1/3 hours
B.2 and 1/3 hours
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Question 1120003: Ana and Beth do a job together in three hours. Working alone, Ana does the job in 5 hours. How long will it take Beth to do the job alone?
A.3 and 1/3 hours
B.2 and 1/3 hours
C. 3 hours
D. 7 and 1/2 hours Found 2 solutions by Shin123, ikleyn:Answer by Shin123(626) (Show Source):
You can put this solution on YOUR website! Ana can complete 1/5 of the job in a hour and Beth can complete x of the job in a hour. 1 divided by 1/5+x should be 3. So 1/5+x=1/3 .2+x=0.33333... x=0.133333333... x=2/15=1/7.5 Beth can complete 1/7.5 of the job in a hour. So the answer is D. Check out this solver,
- Solving Rate of Work Problems
When you solve such a problem (as any other Math problem), it is important to get not only correct answer (number).
It is also important to get the solution, presented in clear, logical and correct form.
It is why I am writing my solution after the solution of the other tutor.
Ana does of the job in hour. In each hour. It is her rate of job.
Working together, Ana and Beth do of the job per hour. It is their combined rate of work.
Then it is clear that the Beth's individual rate of work is the difference - = - = of the job per hour.
It means that Beth can complete the job in = 7.5 hours working alone.
