7th Grade Math Practice Test

If 5 workers take 8 hours to finish a job, how many hours would 8 workers take to finish the same job?

6 5 4 3

Correct Answer:

Explanation:

Understanding how work, rate, and time relate. If five workers take eight hours, the total amount of work equals 5 × 8 = 40 units of work (man-hours). The same job requires 40 man-hours in total. With eight workers sharing the workload, time = 40 ÷ 8 = 5 hours. So eight workers would finish in five hours. In general, when everyone works at the same rate, time is inversely proportional to the number of workers. Five hours.

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