Someone me with this problem, I am stuck

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SUMMARY

The discussion revolves around a mathematical problem involving average speed during a 100-kilometer race. The race car driver has averaged 60 km/hr for the first 25 kilometers and needs to determine the speed required for the remaining distance to achieve an overall average of 100 km/hr. The solution involves calculating the total time allowed for the race and the time already spent, leading to the conclusion that the driver must travel at an impractical speed of 240 km/hr for the remaining distance.

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astudentinneed
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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 definition of average speed which is "total distance/total time"
 

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