Jordan drove for 6 hours at 55 miles per hour, while Matt drove for 3 hours at 60 miles per hour. If Isaac drove 82 miles longer than Jordan and Matt drove combined, for how many miles did Isaac drive?

miles
(Hint: Rate × Time = Distance)

Jordan drove 330 miles and Matt drove 180 miles

so their combined distance is 510 miles

Isaac drove 510+82 or 592 miles

Let's calculate the distances traveled by Jordan and Matt first.

Jordan's distance = Rate * Time = 55 miles/hour * 6 hours = 330 miles
Matt's distance = Rate * Time = 60 miles/hour * 3 hours = 180 miles

Next, we'll add Jordan and Matt's distances together.

Jordan and Matt's combined distance = 330 miles + 180 miles = 510 miles

Now, we know that Isaac drove 82 miles longer than Jordan and Matt combined. Therefore,

Isaac's distance = Jordan and Matt's combined distance + 82 miles
= 510 miles + 82 miles
= 592 miles

So, Isaac drove 592 miles.

To find the number of miles Isaac drove, we need to calculate the distances Jordan and Matt drove and then subtract that sum from the distance Isaac drove.

To calculate the distance Jordan drove, we use the formula:
Distance = Rate × Time
Jordan's rate was 55 miles per hour, and he drove for 6 hours.
So, the distance Jordan drove is:
Distance_Jordan = 55 × 6

To calculate the distance Matt drove, we use the same formula:
Distance_Matt = Rate × Time
Matt's rate was 60 miles per hour, and he drove for 3 hours.
So, the distance Matt drove is:
Distance_Matt = 60 × 3

The total distance Jordan and Matt drove combined is:
Total_distance = Distance_Jordan + Distance_Matt

Now, we know that Isaac drove 82 miles longer than Jordan and Matt drove combined. Hence, the distance Isaac drove is:
Distance_Isaac = Total_distance + 82

To get the final answer, we substitute the calculated values:
Distance_Isaac = (55 × 6) + (60 × 3) + 82
Simplifying the equation:
Distance_Isaac = 330 + 180 + 82

So, Isaac drove a total of:
Distance_Isaac = 592 miles.