How Much Time will be Taken by B?

A can do a piece of work in 10 days and B can do it in 20 days. They start the work together. But after 5 days, A leaves off. B will do the remaining work in

  1. 5 days
  2. 6 days
  3. 8 days
  4. 10 days
Monis Rasool Professor Asked on 12th September 2015 in Maths.
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1 Answer(s)

Answer: (1) 5 days

Explanation:-
A can do a piece of work = 10 days
Therefore, A can a piece of work in a day = 1/10

B can do the same work = 20 days
Therefore, B can the same work in day = 1/20

Then, A and B can together in a day = 1/10 + 1/20
= (2 + 1) /20
= 3/20

A and B can together work in 5 days = 5 x 3 /20
= 15/20
Then, the remaining work = 1 – 15/20
= (20 – 15)/20
= 5/20
= 1/4
Then, B can the remaining work = 20/4 = 5 days

Hence, the answer is (1) 5 days.

Anurag Mishra Professor Answered on 13th September 2015.
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