In How many Days B can Do the Work Alone? If

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working  together, they can finish the work in 2 days. B can do the work alone in:

  1. 4 days
  2. 6 days
  3. 12 days
  4. 15 days
Desire Adnan Default Asked on 31st July 2015 in Maths.
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1 Answer(s)

Answer: (2) 6 days
Explanation:-
Let A, B   & C take time to finish the work = X, X/2  &  X/3
Then, A can work in a day = 1/X
B can work in a day = 2/ X
C can work in a day = 3 / X
Then, A, B  & C together can work in a day = 1/X + 2/X + 3/X = 1/2
(1 + 2 + 3) / X = 1/ 2
6 / X = 1/ 2
X = 12
Therefore, B can finish the work = X / 2 = 12/ 2 = 6 days.
Hence, the answer is (2) 6 days.

Anurag Mishra Professor Answered on 31st July 2015.
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