P alone can do 1/2of a work in 6 days and Q alone can do 2/3 of the same work in 4 days. .
In how many days will they finish 3/4 of the work, working together?
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1/2 of the work is done by P in 6 days ∴ Full work is done by P in 6/1/2 = 6 × 2 = 12 days 2/3 of work done by Q in 4 days. ∴ Full work done by Q in 4/2/3 = 4 × 3/2 = 6 days (P + Q) will finish the whole work in ab/(a+b) days = (12×6)/(12+6) = (12×6)/18 = 4 days (P + Q) will finish 3/4 of the work in 4 × 3/4 = 3 daysRead more on Sarthaks.com - https://www.sarthaks.com/1007057/p-alone-can-do1-2of-a-work-in-6-days-and-q-alone-can-do2-3of-the-same-work-in-4-days
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