In How Many Days Shall B Finish the Whole Work Alone? If

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

  1. 30 days
  2. 40 days
  3. 70 days
  4. 60 days
Monis Rasool Professor Asked on 13th June 2015 in Maths.
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1 Answer(s)

Answer: (4) 60 days
Explanation:-

Let A can do the work = X days.   And B can do the do the work = Y days
According to the question,
X + Y = 1/30      .        ………………(1)
and 16X + 44Y = 1                 …………….(2)

Solve equation (1) and (2)
X = 1/60   and Y = 1/60
Therefore, A can do finish the work = 60 days    and B can do finish the work = 60 days.

Hence, the answer is (4) 60 days.

Anurag Mishra Professor Answered on 13th June 2015.
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