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A race car driver’s goal is to complete a 1000-kilometer auto race in 4 hours or less. The driver’s average speed is 4200 meters per minute. Does the driver meet the goal? If not, how much faster (in meters per minute) must the driver be to meet the goal?

User Sunjinbo
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No, the race car driver does not meet the goal. The driver's average speed would allow them to cover only 4200 meters/minute × 240 minutes = 1,008,000 meters

The total distance covered by the driver in 4 hours is calculated by multiplying the average speed (4200 meters per minute) by the time (4 hours converted to minutes as: 4 hours × 60 minutes/hour = 240 minutes)

4200 meters per minute x 240 minutes

The result is 1,008,000 meters.

To meet the goal of completing the 1000-kilometer race in 4 hours or less, the driver needs to cover 1,000,000 meters.

Therefore, the driver must be 1,000,000 meters − 1,008,000 meters = −8000 meters faster in the given time, meaning they need to increase their speed by 8000 meters/240 minutes = 33.33 meters/minute to meet the goal.

So, that means the driver didn't meet his goal.

User Petem
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