1.

P can complete a piece of work in 12 days while Q can complete the same in 24 days. If they work together and complete it then find the portion of the work done by P is?1. 2/32. 3/43. 4/54. 1/3

Answer» Correct Answer - Option 1 : 2/3

Given:

P can do a piece of work = 12 days

Q can do a piece of work = 24 days

Concept used:

Total work = LCM

Formula used:

Efficiency = Work/Time

Calculation

Total work = LCM = 24

Person

Time

Total work

Efficiency

Q

24 days

24

24/24 = 1

P

12 days

24

24/12 = 2


Total efficiency = 2 + 1 = 3

Taken time = 24/3 = 8

Total work done by P = 8 × 2 = 16

P completed work = 16/24 = 2/3

Work completed by P is 2/3 of the total work



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