ACT Math · Ratios, rates, and percents
4 workers can complete a job in 10 hours. Working at the same rate per worker, how long would 5 workers take to complete the same job?
4 workers can complete a job in 10 hours. Working at the same rate per worker, how long would 5 workers take to complete the same job?
Answer and explanation
Answer: F: 8 hours
The total work is fixed: workers for hours is worker-hours. With workers, each doing the same amount of work per hour, the time is hours, choice F. More workers means less time, which is inverse variation. Choice H () and choice J () increase the time when workers are added, which cannot be right. Choice G () is close but does not follow from the constant-work relationship. The product of workers and time stays .
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