In how many days can A and B together complete the same work?

A alone can complete a work in 6 days and B alone can complete the same work in 12 days. In how many days can A and B together complete the same work?

  1. 5 days
  2. 4 days
  3. 3 days
  4. 2 days

 

jagadeesh Default Asked on 28th July 2015 in Maths.
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1 Answer(s)

Answer: (2) 4 days
Explanation:-
A alone can complete work = 6 days.
A can do work in a day = 1/6

B alone can complete work = 12 days.
B alone can do work in a day = 1/12

A & B together can do work in a day = 1/6 + 1/12
= (2 + 1)/12
= 3/12
= 1/4
Then, A & B together can compete the work = 4 days.
Hence, the answer is (2) 4 days.

Anurag Mishra Professor Answered on 28th July 2015.
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