To find out how many math problems Jaime can finish in 8 hours, we first need to determine his rate of completing math problems per hour. Then we can use that rate to calculate the total number of problems he can finish in 8 hours.

Step-by-Step Solution:

1. Calculate Jaime's rate of completing math problems:

Jaime finishes 15 math problems in 2.5 hours.

$\text{Rate of problems per hour} = \frac{\text{Number of problems}}{\text{Time in hours}}$

$\text{Rate of problems per hour} = \frac{15}{2.5}$

To simplify the division:

$\text{Rate of problems per hour} = \frac{15}{2.5} = \frac{15 \times 10}{2.5 \times 10} = \frac{150}{25} = 6 \, \text{problems per hour}$

2. Use the rate to find out how many problems Jaime can finish in 8 hours:

Now that we know Jaime completes 6 math problems per hour, we multiply this rate by the total number of hours (8 hours):

$\text{Number of problems in 8 hours} = 6 \, \text{problems per hour} \times 8 \, \text{hours}$

$\text{Number of problems in 8 hours} = 48 \, \text{problems}$

Answer:

Jaime can finish 48 math problems in 8 hours.

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Would you like further details or have any other questions?

Here are 5 related questions for further exploration:

1. How many problems can Jaime complete in 5 hours at the same rate?
2. If Jaime's rate of solving problems increases to 8 problems per hour, how many can he finish in 8 hours?
3. How long would it take Jaime to finish 30 math problems at his current rate?
4. If Jaime needs to finish 60 problems, how much time will he need?
5. What is the average time Jaime spends on each math problem?

Tip: When calculating rates, always ensure units are consistent to avoid errors in the calculation.