In How Many Days A and B can Do Finish Work? If

A, B and C can do a job in 6 days, 12 days and 15 days respectively. After 1/8 of the work is complete, C leaves the job. Rest of the work is done by A and B together. Time taken to finish the work is

  1. 35/6 days
  2. 21/4 days
  3. 7/2 days
  4. 15/4 days
Manish Listener Asked on 9th July 2015 in Maths.
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1 Answer(s)

Answer: (3) 7/2 days
Explanation:-
A can do a job =  6 days.
B can do the same job = 12 days.
C can do the same job = 15 days.
1/8 of the work is complete.
Then, remaining work = 1 – 1/8 = 7/8
A and B can work in a day = 1/6 + 1/12
= (2 + 1)/12 = 3/12 = 1/4
Therefore, A and B can complete the work = 4 days.
Remaining work can complete the work by A and B = 7 x 4/8 = 7/2 days.
Hence, the answer is (3) 7/2 days.

Anurag Mishra Professor Answered on 10th July 2015.
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