# Keith and steve can complete a work in 12 days,keith alone can complete the work in 20 days, now if steve works half a day daily. then in how many days can keith and steve together can complete the work?

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Keith similarily does 1/20 work per day .

=> In half a day Keith does 1/40 work .

The condition -> ( Keith works half a day and steve works full day ) = the condition ->( Keith and steve work half a day + steve works further more 1/2 day without keith )

So work done in a day = ( 1/24 + 1/40 ) = 1/15

So total days taken = 1/ ( 1/15 ) = 15 days .