Ok, for all of you who are algebraically inclined, this one shouldn't be too difficult, but for those of you who aren't, good luck. You might be able to get in the right ballpark, but the exact answer will be elusive.
Most modern bowling alleys have some way of gauging the speed of a ball. I typically throw anywhere between 12 and 18 mph depending upon the shot. If you release your bowling ball directly at the foul line and it rolls to strike the center of the headpin, it will have traveled a distance of about 60 feet. If you throw your ball at a snail's pace of 1 mph, it will take approximately 40.9 seconds to cover this distance. If you throw the heater at 20 mph, it will cover the same distance in just over 2 seconds. Here's the bowling puzzler of the week:
At what velocity in the units miles per hour (mph) must you throw the ball for its speed to be exactly equal to the time in seconds that it takes for the ball to travel 60 feet?
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