1.

P alone can do 1/2 of a work in 6 days and Q alone can do 2/3 of the same work in 4 days. In how many days working together, will they finish 3/4 of the work?

Answer»

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 days



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