It took Ramon 88 hours to drive to a rock concert. On the way home, he was able to increase his average speed by 16mph16mph and make the return drive in only 66 hours. Find his average speed on the return drive.Step 3 of 3: Solve the equation found in part 2 for x. Use this information to answer the given word problem.
Question
It took Ramon 88 hours to drive to a rock concert. On the way home, he was able to increase his average speed by 16mph16mph and make the return drive in only 66 hours. Find his average speed on the return drive.Step 3 of 3: Solve the equation found in part 2 for x. Use this information to answer the given word problem.
Solution
From the problem, we know that the distance to the rock concert and back is the same. Therefore, we can set up the equation:
88x = 66(x + 16)
where x is Ramon's original speed.
To solve for x, we first distribute on the right side of the equation:
88x = 66x + 1056
Then, we subtract 66x from both sides to isolate x:
22x = 1056
Finally, we divide both sides by 22 to solve for x:
x = 48 mph
This is Ramon's original speed. However, the problem asks for his return speed, which was 16 mph faster. Therefore, we add 16 to his original speed:
48 mph + 16 mph = 64 mph
So, Ramon's average speed on the return drive was 64 mph.
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