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? (Hint: Rate × Time = Distance)
Jordan drove = 6 h ∙ 55 mil / h = 6 ∙ 55 = 330 miles
Matt drove = 3 h ∙ 60 mil /h = 3 ∙ 60 = 180 miles
Jordan and Matt drove combined 330 + 180 = 510 miles
Isaac drove 82 miles longer than Jordan and Matt drove combined = 510 + 82 = 592 miles
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To solve this problem, we can use the formula: Rate × Time = Distance.
We are given that Jordan drove for 6 hours at a speed of 55 miles per hour. So, we can calculate the distance Jordan drove by multiplying their rate and time: Distance_Jordan = Rate_Jordan × Time_Jordan = 55 miles/hour × 6 hours = 330 miles.
Similarly, we are also given that Matt drove for 3 hours at a speed of 60 miles per hour. So, the distance Matt drove is: Distance_Matt = Rate_Matt × Time_Matt = 60 miles/hour × 3 hours = 180 miles.
Now, let's find the total distance covered by Jordan and Matt combined: Distance_Jordan_and_Matt = Distance_Jordan + Distance_Matt = 330 miles + 180 miles = 510 miles.
Finally, we are given that Isaac drove 82 miles longer than Jordan and Matt drove combined. So, Isaac's distance is: Distance_Isaac = Distance_Jordan_and_Matt + 82 miles = 510 miles + 82 miles = 592 miles.
Therefore, Isaac drove 592 miles.