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23	24	25	26	27	28	1
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23	24	25	26	27	28	29
30	31	1	2	3	4	5

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Multiple Choice Questions

A and B together can complete a work in 24 5 days B and C together can complete a work in 36 5 days ...........

Quantitative Aptitude(IBPS PO) Time and work

A and B together can complete a work in 24/5 days. B and C together can complete a work in 36/5 days. A and C together can complete a work in 72/13 days. In how many days B alone can complete the work?

14 days

12 days

12 1/2 days

19 days

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Explanation:

Solution:
1/A + 1/B = 5/24 …..(1)
1/B + 1/C = 5/36 ……(2)
1/A + 1/C = 13/72 ……(3)
Add equations 1 and 2 and then subtract 3 from them.
(1/A + 1/B + 1/B + 1/C) – (1/A + 1/C) = 5/24 + 5/36 – 13/72
2/B = 1/6
So B takes 12 days.

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