Problem |
Hint |
1) You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will
fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on. What is
the total distance the penny will fall in 6 seconds? |
It is important to note that the indicated number of feet given in this problem statement is the increase from the previous second, not the absolute distance fallen in that time! At each second it travels 32 feet farther than the previous second. With that in mind, construct the following table:
Time | distance increase from previous second | Total distance since drop |
1 sec | 16 | 16 |
2 sec | 16+32=48 |   |
3 sec | 48+32=80 |   |
4 |   |   |
5 |   |   |
6 |   |   |
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2) The distance from Spokane to Pasco by train is 150 miles. The train ride is direct with no stops
along the way except that the train stops every 30 miles to let freight trains pass. The trip takes 2
hours and 40 minutes. Suppose its average speed is 100 mph. What is the average wait time for
letting freight trains pass? Express your answer to the nearest second. |
1. Compute the number of stops by dividing the total distance by the distance between stops = _____ stops.
2. Compute the time for the trip assuming no stops by dividing the distance by the speed of the train = _____ hours.
3. Subtract this from the total time of the trip, including stops = ____ hours. This is the total time of the stops.
4. Divide this time by the numbr of stops = ____ hours/stop.
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3) In May of 2000, I was eleven times as old as my son, Taylor. Nine years later I was six more than
three times his age. How old was Taylor in May 2000? |
Use M for Mom's age in 2000.
Use T for Taylor's age in 2000.
1. Write the equation for Mom's age in 2000: _____
2. Write the equation for Mom's age 9 years later: _____
3. Solve for T = _____
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