In How Much Time will ‘B’ Alone will Finish the Remaining Work?

‘A’ can do piece work in 6(2/3) days. ‘B’ can do the same work in 10 days. Working together, both continues to do the work for 2 days and then ‘A’ leaven the work. In What time will ‘B’ alone will finish the remaining work?

  1. 4 days
  2. 8 days
  3. 12 days
  4. 5 days
Monis Rasool Professor Asked on 3rd June 2015 in Maths.
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1 Answer(s)

Answer: (4) 5 days.
Explanation:-

A can do a piece of work = 20/3 days
A can work in a day = 3/20

B can do a piece of work = 10 days
B can do a piece of in a day = 1/10

Both together to do work for 2 days
then, both together can do work I two days =  2 x 3/20 + 2 x 1/10
6/20 + 2/10 = 1/2
Remaining work = 1 – ½
= 1/2 work
Therefore, B alone finish work = 10 x ½
= 5 days,

Hence, the answer is 5 days.

Anurag Mishra Professor Answered on 3rd June 2015.
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