A and B can do a work in 4 days and C and D can do it in 3 days. In how many days can A, B, C and D do it together?
\(\frac{12}{7}\) days
\(\dfrac{12}{7}\) days is correct.
If a group finishes a work in n days, it does \(\dfrac{1}{n}\) of the work in one day. One-day works of groups working together are added.
Work done in one day by A and B = \(\dfrac{1}{4}\); by C and D = \(\dfrac{1}{3}\).
Together in one day = \(\dfrac{1}{4} + \dfrac{1}{3} = \dfrac{3 + 4}{12} = \dfrac{7}{12}\).
Time taken = \(\dfrac{12}{7}\) days.
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Important Questions from Time and work
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