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Real-Life Math

You are an aerobics instructor who has been approached by a local television station to host your own television show. This is a big opportunity and you want to make sure it's a success. You've broken the news to your aerobics students and they've all promised to tune in.

Your next step is to put together an exercise format that works for television. Normally, your aerobics classes are 1 hour in length. However, producers at the television station have offered you a 1/2-hour time slot mid-mornings. You need to put together a program that fits in this format but will still give viewers a reasonably vigorous workout.

This is not as easy as it sounds. First, you must plan your program around commercial breaks. Second, the program must include a warm-up and cool-down period of 5 minutes each. As an experienced fitness instructor, you know that warm-ups prepare the body for exercise and reduce the chance of injury. And stopping exercise abruptly without cooling down can cause fainting.

Since it's important to demonstrate the proper way to stretch, it's not as if you can simply tell the audience to do a few warm-ups and cool-downs during commercial breaks.

Finally, for your viewers to derive any benefit from the aerobics portion, it must last at least 15 minutes.

To get a better idea of what you'll need to do, you've written down when each commercial break occurs in a 1/2-hour show lasting from 10:30 to 11:00 a.m., and used a stopwatch to time their length.

1st Commercial -- 10:37:30 to 10:38:30

2nd Commercial -- 10:42:30 to 10:44:00

3rd Commercial -- 10:49:45 to 10:51:15

4th Commercial -- 10:56:00 to 11:00:00
(Includes Station Break)

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