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Question 15 : Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done?

  1. 13
  2. 12
  3. 15
  4. 14

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Explanatory Answer

Anil in one day can do th of the work
Sunil in one day can do th of the work
Anil starts the job and Sunil joins him after three days.
So, Anil would have done th of the work by the time Sunil joins
After Sunil joins, they both would be doing th of work everyday
Now, it is known that Bimal joins them after some days and finishes 10 % of the work.
Now, Anil alone had done th of the work and Bimal completes th of the work
So, in total they would have done = th of the work (is the work done by Bimal)
Remaining work = , which would be done by Anil and Sunil in 10 days.
Combining everything,
Total number of days = 3 + 10 = 13 days


The question is "Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done? "

Hence, the answer is 13

Choice A is the correct answer.

 

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