It took Gustavo 33 hours to drive to a football game. On the way home, he was able to increase his average speed by 16mph16mph and make the return drive in only 22 hours. Find his average speed on the return drive.Step 1 of 3: Complete the following table by entering the missing values, using x to represent the unknown quantity.
Question
It took Gustavo 33 hours to drive to a football game. On the way home, he was able to increase his average speed by 16mph16mph and make the return drive in only 22 hours. Find his average speed on the return drive.Step 1 of 3: Complete the following table by entering the missing values, using x to represent the unknown quantity.
Solution
Sure, here is the table:
| Trip | Distance | Rate | Time |
|---|---|---|---|
| To the game | d | x | 33 |
| From the game | d | x+16 | 22 |
Step 2 of 3: Use the formula Distance = Rate x Time to find the value of x.
We know that the distance to the game and from the game is the same, so we can set up the following equation:
33x = 22(x + 16)
Step 3 of 3: Solve the equation for x.
33x = 22x + 352
Subtract 22x from both sides:
11x = 352
Divide both sides by 11:
x = 32 mph
So, Gustavo's average speed on the way to the game was 32 mph. His average speed on the return drive was 32 + 16 = 48 mph.
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