| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.71 |
| Score | 0% | 74% |
The total water usage for a city is 20,000 gallons each day. Of that total, 22% is for personal use and 32% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 2,000 | |
| 3,150 | |
| 7,249 | |
| 14,000 |
32% of the water consumption is industrial use and 22% is personal use so (32% - 22%) = 10% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{10}{100} \) x 20,000 gallons = 2,000 gallons.
If a car travels 20 miles in 1 hour, what is the average speed?
| 50 mph | |
| 75 mph | |
| 30 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is the distance in miles of a trip that takes 2 hours at an average speed of 45 miles per hour?
| 320 miles | |
| 180 miles | |
| 90 miles | |
| 495 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 = \( 45mph \times 2h \)
90 miles
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 25:2 | |
| 1:6 | |
| 3:4 | |
| 1:2 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.
How many hours does it take a car to travel 100 miles at an average speed of 50 miles per hour?
| 1 hour | |
| 9 hours | |
| 7 hours | |
| 2 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 = \( \frac{100mi}{50mph} \)
2 hours