Knowee
Questions
Features
Study Tools

elect the correct answerB and C together can complete a work in 8 days, A and B together can complete the same work in 12 days, and A and C together can complete the same work in 16 days. In how many days can A, B and C together completes the work?Options7.3846153853.6923076927.4166666673.416666667

Question

elect the correct answerB and C together can complete a work in 8 days, A and B together can complete the same work in 12 days, and A and C together can complete the same work in 16 days. In how many days can A, B and C together completes the work?Options7.3846153853.6923076927.4166666673.416666667

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

Solution

The problem can be solved using the concept of work and time.

  1. B and C together can complete a work in 8 days, which means their combined work rate is 1/8 of the work per day.
  2. A and B together can complete the same work in 12 days, which means their combined work rate is 1/12 of the work per day.
  3. A and C together can complete the same work in 16 days, which means their combined work rate is 1/16 of the work per day.

If we add all these rates together, we get 2*(A+B+C) = 1/8 + 1/12 + 1/16.

Solving this equation gives us the combined work rate of A, B, and C as 1/7.384615385 per day.

Therefore, A, B, and C together can complete the work in 7.384615385 days. So, the correct answer is 7.384615385.

This problem has been solved

Similar Questions

Select the correct answerA and B together can do a piece of work in 12 days which B and C together do in 16 days. If A works for 5 days, B works for 7 days than C completes the remaining work in 13 days. In how much time B alone does the whole work?Options48 days16 days24 days12 days

A, B and C can do a work separately in 24, 36 and 48 days respectively. B leaves 7 days before completion and A left 3 days before completion. work will finish in how many days?Options11 5/1312 7/1314 8/1313 9/13

A and B can do a work in 12 days and 18 days, respectively. They worked together for 4 days after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete 50% of the same work?

A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in ______.A 12 days B 13 days C  days D  days

A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work (in days)

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.