Race Car Driver's Average speed

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To achieve an average speed of 200.0 km/h over ten laps, the driver must calculate the required speed for the last lap after averaging 198.0 km/h for the first nine laps. Using the formula for average speed, the total time for all laps must equal 10r/200 hours. After completing nine laps, the driver has spent r/22 hours, leaving a specific amount of time for the final lap. The calculations indicate that the speed needed for the last lap is approximately 218 km/h, although some believe this figure may not be exact. Understanding the relationship between distance, time, and speed is crucial for determining the required performance in this scenario.
Pioneer98
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A race car driver must average 200.0 km/h over the course of a time trial lasting ten laps. If the first nine laps were done at 198.0 km/h , what average speed must be maintained for the last lap?

Avg Speed=Distance traveled/Time

218 km/h, I averaged the first 9 laps at 198 and plugged the speed for the tenth lap in until I got an average speed of 200 km/h
 
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I don't think the answer is 218 km/h, but it is close to that. You can work out the answer using algebra. The key equation is Avg Speed=Distance traveled/Time (which you have got written down). You need to think how to write out the 'Time' in the denominator.
 
In order to have an average speed of at least 200 kmph, the driver must complete all 10 laps, with a length lf r km, so a total distance of 10r km, in 10r/200= (1/20)r hrs.

If he averaged 198 km/hr for the first 9r km then he must have taken 9r/198= r/22 hrs. How much time does he have left for the tenth lap?
 
Okay I got it thanks a lot for the help :)
 

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