Bissoy.com
Doctors Medicines MCQs Q&A

A and B can complete a task in 12 days, B and C can complete the task in 16 days, A and C can complete the task in 24 days. In how many days will they together complete the task?

A and B can complete a task in 12 days, B and C can complete the task in 16 days, A and C can complete the task in 24 days. In how many days will they together complete the task? Correct Answer <span style="">10.67</span>

Given:

A + B take 12 days

B + C take 16 days

A + C take 24 days

Calculation:

LCM of 12, 16, and 24 = 48

So, efficiency of A + B = 4

Efficiency of B + C = 3

Efficiency A + C = 2

Now, 2(A + B + C) = 9

A + B + C = 4.5

So. they will take 48/4.5

⇒ 10.67 days

∴ They will take 10.67 days to complete the work

Related Questions

A and B together can complete a task in 40 days. B and C together can complete the same task in 50 days. A and C together can complete the same task in 60 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
A and B together can complete a task in 20 days. B and C together can complete the same task in 25 days. A and C together can complete the same task in 30 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
Person A, B and C can complete a task together in 81 days. A and B can completed the same task together in 97.2 days. B and C can complete the same task together in 162 days. In how many days can B alone complete the task?
A can complete a task alone in 9 days while B takes 13.5 days to do it by herself. Together with C it takes them 4.5 days to complete the task. If C and D together can complete the task in 18 days, then how many days will D need to complete the task by herself?
Adil and Biren together can complete a task in 20 days. Biren and Chirag together can complete the same task in 50 days. Adil and Chirag together can complete the same task in 40 days. If the same task was to be done by them alone, what would be the ratio of time taken by Adil alone to Biren alone? A. 11: 9 B. 11 : 3 C. 7 : 9 D. 9 : 11
Adil and Biren together can complete a task in 20 days. Biren and Chirag together can complete the same task in 50 days. Adil and Chirag together can complete the same task in 40 days. If the same task was to be done by them alone, what would be the ratio of time taken by Adil alone to taken by Biren? A. 11 : 9 B. 11 : 3 C. 7 : 9 D. 9 : 11
A can complete a task alone in 8 days, while B takes 12 days to do it by herself. Together with C it takes them 4 days to complete the work. If C and D together can complete the task in 15 days, then how many days will D need to complete the task by herself?
A and B can complete a task in 10 days, B and C can complete it in 15 days while C and A can do the same task together in 12 days. How many days will they together take to complete the task?
Ravi and Kamal together can complete a task in 60 days, they start work together and after 46 days Kamal left the task and whole task completes in 66 days. Find the days in which Kamal alone can complete 60% of whole task? 
A and B, working together, can be complete a work in 16 days, C and A together can complete in 32 days, B and C together can complete it in 24 days. They worked together for 12 days. In how many days will C alone complete the remaining work?