Firefighter Practice Exam

If six firemen can inspect 25 fire hydrants in two days, how many hydrants can five firemen inspect in four days?

1. 22

2. 27

3. 35

4. 42

The correct answer is: 42

To solve this question, we first need to determine the rate at which the firemen can inspect the hydrants. Given that six firemen can inspect 25 fire hydrants in two days, we can calculate the rate at which one fireman inspects hydrants. First, we find the total number of fireman-days taken to inspect the hydrants: 6 firemen × 2 days = 12 fireman-days Now, we find the number of hydrants inspected per fireman-day: 25 hydrants / 12 fireman-days = 2.08 hydrants per fireman-day (approximately). Next, we want to find out how many hydrants five firemen can inspect in four days. We calculate the total number of fireman-days for five firemen over four days: 5 firemen × 4 days = 20 fireman-days. Now, we multiply the number of fireman-days by the rate at which one fireman inspects hydrants: 20 fireman-days × 2.08 hydrants per fireman-day ≈ 41.67 hydrants. Since we cannot have a fraction of a hydrant, we round down, leading to a maximum of 41 hydrants. Therefore,