A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:a)1/24b)7/24c)24/7d)4Correct answer is option 'C'. Can you explain this answer?

Question

Answer

They can complete work in 24,6,12 days. So assume the work to be the LCM of this numbers.So let the work be 24 units. So  speed of A=1 work/day , likewise B=24/6=4 work/day and C=24/12=2 work/day. Combined speed = 1+4+2= 7 work/day. Thus they can complete in 24/7 days

Answer

To find the time taken to complete a piece of work when A, B, and C work together, we need to calculate the work done by each person in one day and then add them up.

Let's assume that the total work is 24 units (LCM of 24, 6, and 12).

Work done by A in one day = 24 units / 24 days = 1 unit/day
Work done by B in one day = 24 units / 6 days = 4 units/day
Work done by C in one day = 24 units / 12 days = 2 units/day

Now, when A, B, and C work together, their combined work rate is 1 unit/day + 4 units/day + 2 units/day = 7 units/day.

To find the time taken to complete the work when they work together, we divide the total work (24 units) by their combined work rate (7 units/day):

Time taken to complete the work = 24 units / 7 units/day = 24/7 days.

Therefore, the correct answer is option c) 24/7.

Answer

A’s 1 day work = 1/24
B’s 1 day work = 1/6
C’s 1 day work = 1/12
(A+B+C)’s 1 day work = 1/24 + 1/6 + 1/12 = 7/24
The work will be completed by them is 24/7 days.

Similar Quant Doubts

A can do a piece of work in 60days working 14 hours. B has the same efficiency as of A. A and B started working together. A works 5,6,7 and 8 hours respectively on first four days and repeats the cycle again. Then B has to work how many hours daily if they together completed the work in 80 days?

Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?

When Ashok and Karthik are working alone, they can complete a piece of work in 25 days and 30 days respectively. On day 1, Karthik started the work and Ashok joined B from day 3 on-wards. Find approximately after how many days will the work be completed?

2 men or 3 boys can do a piece of work in 14 days working 6 hours each day. In how many days 6 men and 9 boys will complete a work twice as large working together 2 hours each day?

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company