If 50 men do a piece of work in 12 days working 8 hours a day, how many hours a day would 60 men have to work in order to do another piece of work twi - Quantitative Aptitude MCQ Competitive Exams 2026 | ExamTest.live

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If 50 men do a piece of work in 12 days working 8 hours a day, how many hours a day would 60 men have to work in order to do another piece of work twice as great in 16 days?

Solution & Step-by-step Explanation

Use the work-time relationship formula: \frac{M _{1} D _{1} H _{1}}{W _{1}} = \frac{M _{2} D _{2} H _{2}}{W _{2}} Given parameters: * M_{1} = 50, D_{1} = 12, H_{1} = 8, W_{1} = 1 * M_{2} = 60, D_{2} = 16, W_{2} = 2, H_{2} = ? Substituting the values into the formula: \frac{50 \times 12 \times 8}{1} = \frac{60 \times 16 \times H _{2}}{2} 4800 = 30 \times 16 \times H_{2} 4800 = 480 \times H_{2} H_{2} = \frac{4800}{480} = 10 hours a day

Try it yourself before checking the explanation above.

If 50 men do a piece of work in 12 days working 8 hours a day, how many hours a day would 60 men have to work in order to do another piece of work twice as great in 16 days?

10 hours a day

12 hours a day

8 hours a day

6 hours a day

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