SOLUTION: one painter can paint a room in 5 days and another can do it in 6 days how long will it take if they worked together

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Question 992156: one painter can paint a room in 5 days and another can do it in 6 days how long will it take if they worked together
Answer by ikleyn(52781) About Me  (Show Source):
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First painter paints  1%2F5  of the room in one day  (in each day,  per day).

The second painter paints  1%2F6  of the room in one day.

Working together they paint  1%2F5 + 1%2F6  of the room in one day  (per day).

1%2F5 + 1%2F6 = 6%2F30 + 5%2F30 = 11%2F30.

So,  working together,  they paint  11%2F30  of the room per day.

Hence,  it will take  30%2F11  for them to complete the job working together.

30%2F11 = 28%2F11.

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