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Number
& Math Play
Average
Speed
Louise runs the first half of a race at 5 miles
per hour. Then she picks up her pace and runs the
last half of the race at 10 miles per hour. What
is her average speed on the course?
The answer is not 7.5 miles per hour. Assume
the course is 20 miles long. Louise needs 2 hours
to run the first 10 miles (the first half of the
course) and 1 hour to run the last 10 miles (the
last half), meaning she needs 3 hours to run the
total of 20 miles. Therefore, her average speed
is 6.7 (or 6 2/3) miles per hour.
Source: Carter & Russell,
Classic Brain Puzzlers, p.57