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At a large track meet, times in the 100-meter race follow a normal distribution with mean...

At a large track meet, times in the 100-meter race follow a normal distribution with mean 11.23 seconds and standard deviation 0.46 seconds. Times in the 200-meter race follow a normal distribution with mean 20.85 seconds and standard deviation 0.87 seconds. One runner had a time of 10.67 seconds in the 100-meter race. What must his 200-meter race time be in order for him to be at the same probability as the 100-meter race?

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