Sunil completes a piece of work in 4 days while Dinesh completes the same work in 6 days. Ramesh works 3/2 times as fast as Sunil. How many days will it take for the three of them to complete the work if they work together?

Let the total work be the least common multiple of 4 and 6, which is 12 units. Sunil's daily work is 3 units and Dinesh's is 2 units, while Ramesh works 3/2 times as fast as Sunil to complete 4.5 units per day. Their combined daily work capacity is 9.5 units, so dividing the total 12 units by 9.5 gives a time of 24/19 days. Because 24/19 is not listed among the choices, the result is None of these.

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