| Problem |
Solution |
1) A satellite orbits the earth at a height of 343 kilometers. If it makes 8 revolutions around the earth, how many kilometers does it travel? Give your answer to the nearest kilometer. Earth's diameter is 6,371 kilometers.
Use  = 3.14. |
1. Compute the radius of the earth and add the satellite height to it =
6371/2 + 343 = 3528.5 km.
This is the radius of the satellite orbit from the center of the earth.
2. Double this to get the orbital diameter = 7057 km.
3. Compute the circumference of the orbit = 22158.98 km.
4. Multiply by the number of orbits =
22158.98 x 8 = 177271.84 = (rounded) 177272 km.
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2) Trevon's family drove in Canada at a speed of 110 km per hour for 45 minutes. They crossed the border into Washington and drove for 2 hours and 20 minutes at a speed of 60 miles per
hour. How far did they travel? Express your answer to the nearest tenth of a mile.
1 mile = 1.6 km. |
1. Compute the distance traveled in Canada by multiplying the speed X the time =
110 X .75 hr = 82.5 kilometers.
2. Convert this to miles = 51.5625 mi.
3. Compute the distance traveled in the U.S. by multiplying the speed times the time = 60 X 2.333 hr = 140 mi.
4. Add these 2 = 140 + 51.5625 =
191.5625, rounded = 191.6 mi.
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3) Ronin finds an old punch recipe from his grandma. It calls for 1 gallon of apple juice, 3 quarts of grape juice, 7 pints of cherry juice, 5 cups of pomegranate juice. How many ounces of
punch would that make? There are 4 quarts in a gallon, 2 pints in a quart, 2 cups in a pint, and 8 ounces in a cup. |
1. Compute the number of ounces in a pint = 16
2. Compute the number of ounces in a quart = 32
3. Compute the number of ounces in a gallon = 128
4. Convert all the amounts into ounces and add =
128 + 96 + 112 + 40 = 376 ounces
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