A alone can do a work in 12 days but when A works with B the work gets completed in 60 7 days B and ...........

Quantitative Aptitude ( CCS) Time and work

A alone can do a work in 12 days but when A works with B, the work gets completed in 60/7 days. B and C together do the work in 12 days. In how many days can A and C together do the work?

6.6 days

8.1 days

7.5 days

4.2 days

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Explanation:

Time taken by B alone to complete the task be x days. Time taken by C alone be y days. 1/12 + 1/x = 7/60
=> x = 30 1/30 + 1/y = 1/12
=> y = 20 Part of the work done by A and C together in a day = 1/12 + 1/20 = 8/60
Required number of days = 60/8 = 7.5 days