In How Many Days, B Alone Can Do it? If

A works twice as fast as B. If both of them can together finish a work in 4 days, then in how many days, B alone can do it?

  1. 12
  2. 16
  3. 11
  4. 15
Desire Adnan Default Asked on 4th August 2015 in Maths.
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1 Answer(s)

Answer: (1) 12
Explanation:-
Let the B can finish the work  = X days
Then , B can work in a day = 1/ X

A can finish the work = X/2
Then, A can work in a day = 2/ X

A and B can together work in a day = 1 / X + 2 / X
= (1 + 2 ) /X
= 3 / X
Then, A and B can together finish a work = X / 3 = 4
X = 4 x 3
X = 12
Then, B can alone finish the work = 12

Hence, the answer is (1) 12.

Anurag Mishra Professor Answered on 6th August 2015.
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