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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)1/24
- b)7/24
- c)24/7
- d)4
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A, B and C can complete a piece of work in 24, 6 and 12 days respectiv...
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.
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.
Most Upvoted Answer
A, B and C can complete a piece of work in 24, 6 and 12 days respectiv...
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
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Community Answer
A, B and C can complete a piece of work in 24, 6 and 12 days respectiv...
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.
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.
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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?
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