Question

Jerry is a judge. He hears [5] cases every [2 3/8] hours. Jerry hears cases at a constant rate. How many cases does Jerry hear in 1 hour?

1) 2 cases
2) 3 cases
3) 4 cases
4) 5 cases

Answer 1

Jerry hears approximately 2.105 cases per hour, so the nearest whole number of cases he hears in one hour is 2 cases.

Step-by-step explanation:

Jerry is a judge who hears 5 cases every 2 3/8 hours. To find out how many cases he hears in one hour, we would divide the total number of cases by the total number of hours. Here's the step-by-step breakdown:

1. First, convert 2 3/8 hours to an improper fraction. This would be (2 × 8) + 3, which equals 19/8 hours.
2. Next, divide the number of cases, which is 5, by the fraction representing hours, which is 19/8.
3. This is equivalent to multiplying 5 by the reciprocal of 19/8, which is 8/19.
4. So, 5 × (8/19) = (5 × 8)/19 = 40/19.
5. Therefore, Jerry hears 40/19 cases in one hour, which simplifies to approximately 2.105 cases per hour.

However, since we need to choose the nearest whole number of cases Jerry can hear in an hour from the provided options, the answer would be 2 cases.