In How Many Days B could do the Work Alone? If

A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is complete after 2 more days, B alone could do the work in how many days?

  1. 5
  2. 6
  3. 7
  4. 10
vijay Professor Asked on 1st August 2015 in Maths.
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1 Answer(s)

Answer: (2) 6
Explanation:-
A and B can complete a work = 3 days
Therefore, A  and  B can do work in a day = 1/3

They can do together work in 2 days = 2/3
Remaining work = 1 – 2/3
= 1/3
Then, A complete the remaining work = 2 days
Therefore, A can whole work complete = 2 x 3 = 6 days
Then, A can work in a day = 1/6
Therefore, B can work in a day = 1/3 – 1/6
= (2 – 1)/6
= 1/6
Then, B can complete the work = 6 days.
Hence, the answer is (2) 6 days.

Anurag Mishra Professor Answered on 2nd August 2015.
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