P does one fourth as much work as Q in two third of the time. If together they take 24 days to complete the work, how much time shall Q take to do it?
Let the whole work be done by Q in xdays In 2/3 rd of time work by P = 1/4 1/4 of work is done by P in 2/3x days Whole work is done by P in (4× 2)/(3× x) days = 8/3x days => 1/x + 3/8x = 1/24 => (8+3)/(8x) = 1/24 => x = 33 days
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