Knowee
Questions
Features
Study Tools

If X can complete a job in 12 hours and Y can complete the same job in 8 hours, how long will it take them to complete the job working together? A)  3 hours B) 4 hours C) 6 hours D) 7.5 hours

Question

If X can complete a job in 12 hours and Y can complete the same job in 8 hours, how long will it take them to complete the job working together? A)  3 hours B) 4 hours C) 6 hours D) 7.5 hours

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we need to find out how much of the job each person can complete in one hour and then add these amounts together to find out how much they can complete together in one hour.

  1. X can complete the job in 12 hours, so in one hour X can complete 1/12 of the job.
  2. Y can complete the job in 8 hours, so in one hour Y can complete 1/8 of the job.
  3. Together in one hour, X and Y can complete 1/12 + 1/8 of the job. To add these fractions, we need to find a common denominator. The least common multiple of 12 and 8 is 24, so we convert the fractions to have this denominator: (1/12)(2/2) + (1/8)(3/3) = 2/24 + 3/24 = 5/24. So, together they can complete 5/24 of the job in one hour.
  4. To find out how long it will take them to complete the job together, we divide the total job (1) by the amount they can do together in one hour (5/24): 1 / (5/24) = 24/5 = 4.8 hours.

So, the answer is not listed among the options. They can complete the job together in 4.8 hours.

This problem has been solved

Similar Questions

A and B can complete a job in 12 days, and A alone can complete the job in 18 days. How long would it take for B to complete the job alone? A)  16 days B) 24 days C) 36 days D) 48 days  a.  b.  c.  d.

A can do a piece of work in 8 hours. B can do same piece of work in 12 hours. A starts working at 9AM and they worked on alternative hours. At which time work will be finished?

Samuel can do a piece of work in 12 days and Bruce can do it in 6 days. If Carl, who can do the work in 16 days, joins them, then how long will they take to together complete the work?  Ops:   A. 7/8 days    B. 16/5 days    C. 24/5 days    D. 13/25 days

A and B working together, can do a piece of work in 4 1/2hours. B and C working together can do it in 3 hours. C and A working together can do it in 2 1/4hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work?

A can do a piece of work in 4 hours. B and C can do the same piece of work together in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?Marks : 1Negative Marks : 0Answer here12638

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.