Question Details

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?

Options

A

14

B

13

C

15

D

12

Show Answer

Correct Answer :

Option B

13

Solution :

Let the total work be 40 units (the LCM of 20 and 40).

The efficiency of Anil =4020=2 units/day.
The efficiency of Sunil =40< 40=1 unit/day.

Bimal does 10% of the job, which is 10% of 40=4 units of work.

The remaining 90% of the job, which is 404=36 units, is completed by Anil and Sunil.

Anil worked from the first day until the job was completed. Let the total number of days taken to finish the job be d.

Sunil joined after 3 days, so Sunil worked for d3 days.

Thus, the total work done by Anil and Sunil is:
2d+1(d3)=36

Solving for d:
3d3=36
3d=39
d=13

Therefore, the job was done in 13 days.

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