Someone me with this problem, I am stuck

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To average 100 km/hr over a 100-kilometer race, the driver must complete the race in 1 hour. Having already traveled 25 kilometers at an average speed of 60 km/hr, she has spent 25 minutes (0.417 hours) on that segment. This leaves her with 0.583 hours to cover the remaining 75 kilometers. To achieve this, she must drive at a speed of 129 km/hr for the rest of the race. Understanding the relationship between distance, time, and speed is crucial for solving this problem effectively.
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here is the question:

A race car driver sets out on a 100-kilometer race. At the quarter-way marker, her pit crew radios that she has averaged only 60 km/hr. How fast must she drive over the remaining distance in order to average 100 km/hr for the entire race?

please help me out, I have been working on this for 2 hrs now, I am stuck?

would I use the average velocity formula? but then I get a screwed up answer like

avg v = 160km/hr / 1.167hr = 137.1 km/hr^2? can someone please help me out, but then what is 137km/hr^2 in standard units?? I got like .0105m/s^2
 
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Here's a hint: How much total time does she have to complete the race if she is to average 100 km/hr? How much time has she spent on just the first quarter?
 
try using the definiton of average speed which is "total distance/total time"
 
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