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A, B and C can do a work separately in 20, 35 and 60 days, respectively. They started the work together, but B and C left 8 days
and 12 days, respectively, before the completion of the work. In how many days will the work be completed?
20 days
15 days
10 days
12 days
- Option 1: 20 days
- Calculate total work as a fraction for each: A = 1/20, B = 1/35, C = 1/60.
- Total work per day by A, B, and C together: 120+135+160.
- Simplify this to find combined work rate and determine total days needed by subtracting B and C's last days of work.
- Option 2: 15 days
- Process similarly as above.
- Ensure work completion considers B leaving 8 days earlier and C 12 days earlier.
- Check if total days align with Option 2's claim.
- Option 3: 10 days
- Complete calculation in the same manner.
- Verify if it fits conditions of B and C leaving earlier.
- Too few days considering rates.
- Option 4: 12 days
- Repeat calculations.
- Shorter than realistically possible due to A's slower work rate.
The Correct Answer is Option: 2 - 15 days
Calculations confirm total days are 15 when accounting for B and C leaving earlier.
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