[14/3 days] A completes a work in 2 days, B in 4 days, C in 9 and D in 18 days. They form group of two such that

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A completes a work in 2 days, B in 4 days, C in 9 and D in 18 days. They form group of two such that difference is maximum between them to complete the work. What is difference in the number of days they complete that work?

14/5 days

14/3 days

16/2 days

18/4 days

Explanation:

If C and D form a pair and A and B form a pair the difference is maximum.

Now C and D together can complete the work = 9 $\times$ 189+18 = 6 days.

A and B together can complete the work = 2$\times$ 42+4 = 4/3 days.

Difference = 6 - 4/3 = 14/3 days.

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