Question

Jerry is a judge. He hears 555 cases every 2\dfrac382 8 3 ​ 2, start fraction, 3, divided by, 8, end fraction hours. Jerry hears cases at a constant rate. How many cases does he hear per hour?

Answer 1

Given:

Jerry is a judge.

He hears 5 cases every 2\dfrac382 8 3 ​ 2, start fraction, 3, divided by, 8, end fraction hours.

Jerry hears cases at a constant rate.

To find:

How many cases does he hear per hour?

Solution:

As per the given constant rate,

No. of cases Jerry hears = 5

No. of hours he takes to hear 5 cases = $2\frac{3}{8} \:hrs = \frac{19}{8}\:hrs$

Now, by using the unitary method, we will find the no. of cases heard in 1 hr,

∴ No. of cases Jerry would hear in 1 hr = $\frac{5}{\frac{19}{8} }$ = $\frac{5}{19} \times 8$ = $\frac{40}{19}$ = $2.10$ ≈ 2 cases

Thus, Jerry hears approximately 2 cases per hour.

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Answer 2

Answer:

40/19

Step-by-step explanation:

To find cases per hour, we divide cases by hours.

5 cases divided by 2 3/4 hours

5 ÷ 19/8

5 ⋅ 8/19

= 40/19

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hope this helped! <3