How Much Time Shall B Take to do it Alone? If

To complete a work A take 50% more time than B. If together they take 18 days to complete thee work. How much time shall B take to do it alone?

  1. 30 days
  2. 35 days
  3. 40 days
  4. 45 days
Monis Rasool Professor Asked on 9th June 2015 in Maths.
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1 Answer(s)

Answer: (4) 45 days
Explanation:-

Let be the B take time to complete the work = X days
and A take time to complete the work = 3X/2 days

Both together can work = 1/X + 2/3X = 18
= (3 + 2)/3X = 18
5/3X = 18
X = 18 x 5/3
X = 30 days
Then, A can work complete = 30 x 3/2 = 45 days

Hence, the answer is 45 days.

Anurag Mishra Professor Answered on 9th June 2015.
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