[Q] If A, B and C can complete a piece of work in 24, 6 and 12 days
respectively. Then, working together, they will complete the same work in how many days?
(a) 3 3⁄7
(b) 2 3⁄7
(c) 5 3⁄7
(d) 4 3⁄7
(a) 3 3⁄7
(b) 2 3⁄7
(c) 5 3⁄7
(d) 4 3⁄7
Solution
Answer
(a)
Explanation
----
Work done by A in 1 day = 1/24
Work done by B in 1 day = 1/6
Work done by C in 1 day = 1/12
Work done by A,B and C in 1 day = 1/24 + 1/6 + 1/12 = 7/24
=> Working together, they will complete the work in 24/7 days = 3 3⁄7 days
Explanation
----
Work done by A in 1 day = 1/24
Work done by B in 1 day = 1/6
Work done by C in 1 day = 1/12
Work done by A,B and C in 1 day = 1/24 + 1/6 + 1/12 = 7/24
=> Working together, they will complete the work in 24/7 days = 3 3⁄7 days
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