Rates & Ratios — Quiz 2

Questions in this quiz (10)

1. If Jordan ran 15 laps around a circular track with a radius of 150 meters in 45 minutes, what was his average speed in kilometers per hour?

   • $$10$$
   • $$18.85$$
   • $$15.50$$
   • $$14.14$$

2. If a bus left Chicago at 10 AM on Saturday and traveled 2400 miles to Los Angeles at an average speed of 60 mph, what day and at what time did it arrive, rounded to the nearest 5 minutes?

   • 2:00 AM Monday
   • 2:10 AM Sunday
   • 1:35 AM Tuesday
   • 2:45 PM Monday

3. A rectangular fish tank at a pet store has dimensions of 3 meters in length, 2 meters in width, and 1.5 meters in height. The tank is filled at a rate of 1 cubic meter per minute. How many minutes will it take to fill the tank from empty to full?

   • 10
   • 8
   • 9
   • 15

4. Maria traveled 150 miles at an average speed of 70 mph for the first part of her journey. For the second part, she drove 300 miles at an average speed of 90 mph. What was her average speed in mph for the entire 450-mile trip?

   • 85.50
   • 82.30
   • 45.00
   • 70.00

5. A bicycle wheel with a radius of 12 inches rotates at a speed of 800 revolutions per minute. What is the approximate speed of the bicycle in miles per hour (1 mile = 5,280 feet)?

   • 75.40
   • 0.95
   • 57.06
   • 32.7

6. The ratio $$c:d$$ is $$4:3$$. What is the value of the expression: $$\frac{5c+2d}{2c+4d}?$$

   • $$\frac{13}{10}$$
   • $$\frac{7}{6}$$
   • $$\frac{5}{4}$$
   • $$\frac{13}{6}$$

7. If $$\frac{p}{q} - \frac{r}{s} = 0$$ and $$rs = 12$$, which of the following statements must be true?

   • $$p$$ and $$q$$ are directly proportional.
   • $$p$$ and $$r$$ are directly proportional.
   • $$p$$ and $$s$$ are directly proportional.
   • $$q$$ and $$r$$ are directly proportional.

8. Emma and Noah participate in a cycling race on a circular track that measures 1200 meters per lap. They both complete 5 laps. Noah takes 15 minutes longer than Emma to finish. If Emma completes the 5 laps in 30 minutes, how much slower is Noah's average speed in km/h compared to Emma's?

   • $$6$$
   • $$12$$
   • $$4$$
   • $$8$$

9. James cycles four times farther in 50 minutes than David cycles in 25 minutes. If James cycles at a speed of 36 miles per hour, how fast does David cycle?

   • $$30$$
   • $$36$$
   • $$18$$
   • $$12$$

10. If $$\left(\sqrt{3}\right)^c=\frac{1}{243^d}$$ and $$c\neq0$$, $$d\neq0$$, what is the ratio $$c:d$$?

    • $$-20$$
    • $$-15$$
    • $$-10$$
    • $$-5$$