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Last week, police ticketed 13 men travel...

Last week, police ticketed 13 men traveling 18 miles per hour over the speed limit and 8 women traveling 14 miles per hour over the speen limit. What was the mean speed over the limit of all 21 drivers?

A

16 miles per hour

B

16.5 miles per hour

C

16.5 miles per hour

D

17 miles per hour

Text Solution

AI Generated Solution

The correct Answer is:
To find the mean speed over the limit of all 21 drivers, we can follow these steps: ### Step 1: Determine the total speed over the limit for men. - There were 13 men ticketed, each traveling 18 miles per hour over the speed limit. - Total speed for men = Number of men × Speed over limit for men - Total speed for men = 13 men × 18 miles/hour = 234 miles/hour ### Step 2: Determine the total speed over the limit for women. - There were 8 women ticketed, each traveling 14 miles per hour over the speed limit. - Total speed for women = Number of women × Speed over limit for women - Total speed for women = 8 women × 14 miles/hour = 112 miles/hour ### Step 3: Calculate the total speed over the limit for all drivers. - Total speed for all drivers = Total speed for men + Total speed for women - Total speed for all drivers = 234 miles/hour + 112 miles/hour = 346 miles/hour ### Step 4: Calculate the total number of drivers. - Total number of drivers = Number of men + Number of women - Total number of drivers = 13 men + 8 women = 21 drivers ### Step 5: Calculate the mean speed over the limit. - Mean speed = Total speed for all drivers / Total number of drivers - Mean speed = 346 miles/hour / 21 drivers = 16.5 miles/hour ### Final Answer: The mean speed over the limit of all 21 drivers is **16.5 miles per hour**. ---
To find the mean speed over the limit of all 21 drivers, we can follow these steps: ### Step 1: Determine the total speed over the limit for men. - There were 13 men ticketed, each traveling 18 miles per hour over the speed limit. - Total speed for men = Number of men × Speed over limit for men - Total speed for men = 13 men × 18 miles/hour = 234 miles/hour ### Step 2: Determine the total speed over the limit for women. ...
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Knowledge Check

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