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Directions : Study the following information and answer the question. A company has assigned grades to its workers according to their capability, i.e. grades A, B and C. The total number of workers in the company is 120. I. The grade A workers can complete the project alone in 120 hours. The ratio of the number of grade A workers to that of grade B workers is 3 : 5. II. The grade B workers are half as efficient as the grade A workers. The number of grade B workers is 16 less than that of grade C workers. III. The grade C workers are half as efficient as the grade B workers. The total number of workers of grades B and C is 96.

On what day of the week will the project be finished if all the workers work together, given that the working days are from Monday to Friday and there are 8 working hours in a day? It is also given that the project starts on Friday.

Using the given ratios, the 120 workers are distributed as 45 in grade A, 75 in grade B, and 75 in grade C. Let the efficiency of a grade C worker be 1 unit per hour; then grade B is 2 and grade A is 4. The total efficiency is (45*4) + (75*2) + (75*1) = 405 units per hour. The grade A workers alone take 120 hours to finish the project, making the total project size 45 workers * 4 units/hour * 120 hours = 21,600 units. The total time taken by all workers is 21,600 / 405 = 53.33 hours. At 8 working hours per day, this takes 6 full days and 2.66 hours. The work starts on Friday, finishes 6 full working days later on Friday, and extends into the next working day. The project will be finished on Monday.

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