Vibhu alone can do a piece of work in 40 days, whereas Kashish alone can do the same work in 56 days. They started the work together. Then, due to some reason, Vibhu left 13 days before the work was completed. In approximately how many days in total was the work completed?

Let the total time to complete the work be x days, meaning Vibhu worked for x minus 13 days while Kashish worked for all x days. Setting up the work equation, x/56 + (x - 13)/40 = 1, and multiplying by the least common multiple of 280 gives 5x + 7x - 91 = 280. Solving 12x = 371 results in x being approximately 31 days.

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