[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 tha

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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?

3/14 days

13/2 days

14/3 days

12/4 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 =$\dfrac{9\times18}{9+18}$

A and B together can complete the work = $\dfrac{2\times 4}{2+4}$

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

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