Ganesh and Ragu can separately do a piece of work in 25 and 20 days respectively. They worked together for 8 days, after which Ragu was replaced by Rohit. If the work was finished in next 3 1/2 days, then the number of days in which Rohit alone could do the work will be?

Using the Least Common Multiple method, let the total work be 100 units, making the daily work of Ganesh and Ragu 4 units and 5 units respectively. In 8 days, they complete (9 * 8) = 72 units, leaving 28 units of work. Rohit completes these 28 units in 3 1/2 days, so his daily work is 28 divided by 3.5, which equals 8 units. Therefore, Rohit alone could complete the 100 units of work in 100 divided by 8, resulting in 25 days.

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