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Solution |
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1) At a slug race, the fastest slug traveled 10 inches per hour, but it had to rest for 30 minutes every 3 feet. At this record setting pace, how long will it take the slug to travel 8
feet?
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1. If the slug rests 30 minutes every 3 feet then it rests ____ times in a 8-foot race.
2. Convert the slug's 'speed' to feet/hour = ______ ft/hr.
3. Multiply the slug's speed by the distance and
add the rest times = ____________________
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2) Elevators at the Space Needle travel at the same speed as raindrops, 10 miles per hour. The elevator ride takes about 40 seconds. How far, to the nearest foot, will the elevator travel? Note: 5280 feet = 1 mile
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1. Convert the elevator's speed to feet/hour =
__________________ ft/hr.
2. Convert the elevator ride time to hours = ______ hours.
3. Muliply this by the time of the elevator ride = ________ feet.
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3) Sam cuts a piece of wire 64 centimeters in length into two parts. The parts are then each bent to form a square. The total area of the two squares is 130 square centimeters.
How much larger is a side of the larger square than a side of the smaller square? The sides of each square are in whole number lengths.
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This is actually an algebra problem with 2 equations and 2 unknowns
Call the two side lengths a and b.
- First equation: ____________________
- Second equation: _____________________
- First equation as expression for a:
____________________
- Substitute in the second equation:
This will be a quadratic equation.
- Using the quadratic formula solve for b:
b = _____
- Plug in the value you got for b into the first equation to get a = _____
- The larger side is ____ longer than the shorter side.
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