40 Ounce Speed
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For all you Math Geniuses out there...?
All these problems took me 10 minutes to figure out. Now I wanna see if anyone else can beat my time. Are you up for it?
1. On a recent trip I drove 100 miles at 50 mph and 80 miles at 60 mph. What was my average speed on the trip?
2. At your club's meeting, you have bought enough ice cream for 40 people. When 50 people show up, you figure that if each serving you had planned for the 40 people was reduced by 1 ounce, you would have enough for 50 equal servings. How much ice cream is each of these 50 people going to get?
3. If I travel 20 mph I'll arrive 1 hour late. If I travel at 30 mph I'll arrive 1 hour early. If I travel k mph, I'll arive on time. What is the value of k?
4. The smallest interior angle of a particular convex polygon had measure of 120 degrees. Starting at the 120 degree angle and moving clockwise around the polygon, each successive angle is 5 degrees larger that ints predecessor. How many sides does the polygon have?
Good luck!
1. On a recent trip I drove 100 miles at 50 mph and 80 miles at 60 mph. What was my average speed on the trip?
T1 = 100/50 = 2, T2 = 80/60 = 4/3 = 1 1/3
Ttotal = 3 1/3 = 10/3)
Vavg = Dtotal/Ttotal = 180/(10/3) = 540/10 = 54 mph
2. At your club's meeting, you have bought enough ice cream for 40 people. When 50 people show up, you figure that if each serving you had planned for the 40 people was reduced by 1 ounce, you would have enough for 50 equal servings. How much ice cream is each of these 50 people going to get?
40n = 50(n - 1)
n = 5
n - 1 = 4
Each of the 50 get 4 oz.
3. If I travel 20 mph I'll arrive 1 hour late. If I travel at 30 mph I'll arrive 1 hour early. If I travel k mph, I'll arive on time. What is the value of k?
20(t + 1) = 30(t - 1)
t = 5 hours to be on time
20(6) = 30(4) = 120 mi
k(5) = 120
k = 24 mph
4. The smallest interior angle of a particular convex polygon had measure of 120 degrees. Starting at the 120 degree angle and moving clockwise around the polygon, each successive angle is 5 degrees larger that ints predecessor. How many sides does the polygon have?
180(n - 2) = {n(120 +[120 + 5(n - 1)])}/2
n² - 25n + 144 = 0
n = 9 or 16
Since 9 < 16, then the polygon has 9 sides
Sum of angles = 1260°


US $32.00















































































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