No, miles are bigger!
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No, x kilometers per hour and x miles per hour are equal speeds. The conversion factor between kilometers and miles is 1.60934, so when converting from kilometers to miles, the number decreases but the speed remains the same.
It means that driving at any speed faster than 60 kilometers per hour is prohibited by law. 60 kilometers per hour is the same as 37.3 miles per hour.
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1 miles in 54 seconds is slightly faster than 60 mph
You have averaged 36.5 miles per hour. You are probably going quite a bit faster than that at the end.
After 1 hour the slower car will be 30 mph x 1 hour = 30 miles ahead of the faster car. The faster car is travelling 45 mph - 30 mph = 15 mph faster than the slower car and so will cover this 30 miles in 30 miles ÷ 15 mph = 2 hours at which point it will have caught the slower car and start to over take it.