How Number of Days Require to Complete the same Work? If

A competes a pipe of work in 4 days and B completes it in 6 days. If both A and B work together, then the number of days required to complete the same work is

  1. 19/4 days
  2. 13/5 days
  3. 12/5 days
  4. 17/5 days
Monis Rasool Professor Asked on 10th June 2015 in Maths.
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1 Answer(s)

Answer: (3) 12/5 days
Explanation:-

A completes piece of work = 4 days
Therefore, A can do work in a day = ¼

B completes piece of work = 6 days
Therefore, B can do work in a day = 1/6

A and B can do work together in a day = 1/4 + 1/6
(6 + 4)/24 = 10/24
= 5/12
Thus, A and B can do work complete = 12/5 days

Hence, the answer is (3) 12/5 days.

Anurag Mishra Professor Answered on 11th June 2015.
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