Time for 4 men to complete a job if 6 men take 8 hours?
The time for 4 men to complete the job is 12 hours. To understand how we arrive at this conclusion, we can begin by analyzing the work done by the men in the given scenario. If 6 men can complete...
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1MATH MCQS
Time for 4 men to complete a job if 6 men take 8 hours?
10 hours
12 hours
14 hours
16 hours
Correct Answer:
B. 12 hours
Detailed Explanation
The time for 4 men to complete the job is 12 hours. To understand how we arrive at this conclusion, we can begin by analyzing the work done by the men in the given scenario. If 6 men can complete the job in 8 hours, we can determine the total amount of work in terms of man-hours. The total work is calculated as the number of men multiplied by the number of hours they work, which gives us 6 men × 8 hours = 48 man-hours required to complete the job.
Next, we need to find out how long it will take for 4 men to complete the same amount of work. Since we already established that the job requires 48 man-hours, we divide this total work by the number of men available, which is 4. Therefore, the time required for 4 men to finish the job can be calculated as 48 man-hours ÷ 4 men = 12 hours. This shows that the time complete take for 4 men to finish the job is indeed 12 hours.
Understanding this relationship between the number of workers and the time taken to complete a job is crucial for solving similar problems in competitive exams. It illustrates the inverse relationship: as the number of workers decreases, the time taken to complete the work increases, assuming the amount of work remains constant. Thus, mastering these concepts will enhance your problem-solving skills and efficiency in tackling related questions in future exams.
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