Rohan and Sanjay together can paint a hall in 10 days. They work together for 4 days, after which Rohan leaves, and Sanjay paints the rest of the hall in 12 more days. Sanjay working alone would paint the whole hall in how many days?

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Accepted Answer

20. In 4 days together they finish 4/10 = 2/5 of the hall, leaving 3/5. Sanjay does that 3/5 in 12 days, so in one day he does (3/5)/12 = 1/20 of the hall and needs 20 days on his own. (Adding 4 and 12 to get 16 days counts the first four days as though Sanjay had worked them alone.)

Rohan and Sanjay together can paint a hall in 10 days. They work together for 4 days, after which Rohan leaves, and Sanjay paints the rest of the hall in 12 more days. Sanjay working alone would paint the whole hall in how many days?

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