| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
How many hours does it take a car to travel 30 miles at an average speed of 15 miles per hour?
| 2 hours | |
| 5 hours | |
| 1 hour | |
| 7 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{30mi}{15mph} \)
2 hours
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 55% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 19 | |
| 22 | |
| 34 | |
| 30 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{55}{100} \) = \( \frac{55 x 20}{100} \) = \( \frac{1100}{100} \) = 11 shots
The center makes 50% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{11}{\frac{50}{100}} \) = 11 x \( \frac{100}{50} \) = \( \frac{11 x 100}{50} \) = \( \frac{1100}{50} \) = 22 shots
to make the same number of shots as the guard and thus score the same number of points.
In a class of 26 students, 8 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 20 | |
| 7 | |
| 19 |
The number of students taking German or Spanish is 8 + 14 = 22. Of that group of 22, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 22 - 3 = 19 who are taking at least one language. 26 - 19 = 7 students who are not taking either language.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Roger buys two shirts, each with a regular price of $46, how much will he pay for both shirts?
| $71.30 | |
| $62.10 | |
| $59.80 | |
| $64.40 |
By buying two shirts, Roger will save $46 x \( \frac{45}{100} \) = \( \frac{$46 x 45}{100} \) = \( \frac{$2070}{100} \) = $20.70 on the second shirt.
So, his total cost will be
$46.00 + ($46.00 - $20.70)
$46.00 + $25.30
$71.30
What is the distance in miles of a trip that takes 6 hours at an average speed of 55 miles per hour?
| 120 miles | |
| 20 miles | |
| 330 miles | |
| 165 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 55mph \times 6h \)
330 miles