How Much Time will They Take to Complete The Work?

A completes a piece of work in 6 hours. B completes the same work in 12 hours. If both A and B work together, then how much time will they take to complete the work?

  1. 6 hr
  2. 8 hr
  3. 12 hr
  4. 4 hr
Harsh Vardhan Professor Asked on 6th September 2015 in Maths.
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1 Answer(s)

Answer: (4) 4 hours

Explanation:-
A can complete a piece of work = 6 hours
A can work in an hour = 1/6

B can complete the same work = 12 hours
Then, B can work in an hour = 1/12

Therefore, A and B can together the in an hour = 1/6 + 1/12
= (2 + 1) /12
= 3/12
= 1/4

Then, A and B can together complete the work = 4 hours

Hence, the answer is (4) 4 hours.

Anurag Mishra Professor Answered on 8th September 2015.
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