If 120 persons can finish a work within 16 days by working 6 hours a day, then the number of hours per day that 64 persons should work to finish that - Quantitative Aptitude MCQ Practice Test 2026 | ExamTest.live

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If 120 persons can finish a work within 16 days by working 6 hours a day, then the number of hours per day that 64 persons should work to finish that same job within 15 days is:

Solution & Step-by-step Explanation

We can use the chain rule formula: M_{1} \times D_{1} \times H_{1} = M_{2} \times D_{2} \times H_{2} Given: * M_{1} = 120 * D_{1} = 16 * H_{1} = 6 * M_{2} = 64 * D_{2} = 15 * H_{2} = ? Substitute the values into the formula: 120 \times 16 \times 6 = 64 \times 15 \times H_{2} Now, solve for H_{2} : H_{2} = \frac{120 \times 16 \times 6}{64 \times 15} Simplify the expression: H_{2} = \frac{120}{15} \times \frac{16}{64} \times 6 H_{2} = 8 \times \frac{1}{4} \times 6 H_{2} = 2 \times 6 = 12 hours

Try it yourself before checking the explanation above.

If 120 persons can finish a work within 16 days by working 6 hours a day, then the number of hours per day that 64 persons should work to finish that same job within 15 days is:

17 hours

15 hours

16 hours

12 hours

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