Unit conversion with ratios Knowledge-Based Download PDF

Questions

1. 1.

   A network connection transfers data at a rate of 40 megabits per second. Using the conversion ratios $1\text{ megabyte} = 8\text{ megabits}$ and $1\text{ minute} = 60\text{ seconds}$, what is this transfer rate in megabytes per minute?

   • A) 19,200 megabytes per minute
   • B) 300 megabytes per minute
   • C) 5 megabytes per minute
   • D) 2,400 megabytes per minute
2. 2.

   A research submersible descends at a constant rate of 18 feet per minute. Using the conversion ratios $1\text{ fathom} = 6\text{ feet}$ and $1\text{ hour} = 60\text{ minutes}$, what is this rate in fathoms per hour?

   • A) 6,480 fathoms per hour
   • B) 0.05 fathoms per hour
   • C) 1.8 fathoms per hour
   • D) 180 fathoms per hour
3. 3.

   A ceiling fan spins at a constant speed of 180 revolutions per minute. Using the conversion ratios $1\text{ revolution} = 360\text{ degrees}$ and $1\text{ minute} = 60\text{ seconds}$, what is this rate in degrees per second?

   • A) 30 degrees per second
   • B) 1,080 degrees per second
   • C) 540 degrees per second
   • D) 64,800 degrees per second
4. 4.

   Which expression correctly uses conversion ratios to convert a speed of 50 miles per hour into feet per second?

   • A) $\frac{50\text{ miles}}{1\text{ hour}} \times \frac{1\text{ mile}}{5{,}280\text{ feet}} \times \frac{1\text{ hour}}{60\text{ minutes}} \times \frac{1\text{ minute}}{60\text{ seconds}}$
   • B) $\frac{50\text{ miles}}{1\text{ hour}} \times \frac{5{,}280\text{ feet}}{1\text{ mile}} \times \frac{1\text{ hour}}{60\text{ minutes}} \times \frac{1\text{ minute}}{60\text{ seconds}}$
   • C) $\frac{50\text{ miles}}{1\text{ hour}} \times \frac{5{,}280\text{ feet}}{1\text{ mile}} \times \frac{60\text{ minutes}}{1\text{ hour}} \times \frac{60\text{ seconds}}{1\text{ minute}}$
   • D) $\frac{50\text{ miles}}{1\text{ hour}} \times \frac{1\text{ mile}}{5{,}280\text{ feet}} \times \frac{60\text{ minutes}}{1\text{ hour}} \times \frac{60\text{ seconds}}{1\text{ minute}}$
5. 5.

   A chemical feeder adds 36 kilograms of mineral supplement per day to a water supply system. Using the conversion ratios $1\text{ kilogram} = 1{,}000\text{ grams}$ and $1\text{ day} = 24\text{ hours}$, what is this delivery rate in grams per hour?

   • A) 1,500 grams per hour
   • B) 864,000 grams per hour
   • C) 1.5 grams per hour
   • D) 0.0015 grams per hour
6. 6.

   A container holds 768 fluid ounces of liquid. Using the conversion ratios $1\text{ cup} = 8\text{ fluid ounces}$, $1\text{ quart} = 4\text{ cups}$, and $1\text{ gallon} = 4\text{ quarts}$, what is this volume in gallons?

   • A) 96 gallons
   • B) 24 gallons
   • C) 12 gallons
   • D) 6 gallons
7. 7.

   A contractor excavates 540 cubic feet of soil from a construction site. Using the conversion ratio $1\text{ yard} = 3\text{ feet}$, what is this volume in cubic yards?

   • A) 180 cubic yards
   • B) 20 cubic yards
   • C) 60 cubic yards
   • D) 14,580 cubic yards
8. 8.

   An irrigation system delivers liquid fertilizer at a rate of 18 gallons per day. Using the conversion ratios $1\text{ gallon} = 8\text{ pints}$ and $1\text{ day} = 24\text{ hours}$, what is this rate in pints per hour?

   • A) 0.75 pints per hour
   • B) 2.25 pints per hour
   • C) 6 pints per hour
   • D) 54 pints per hour
9. 9.

   A conveyor belt moves material at a constant speed of 45 inches per second. Using the conversion ratios $1\text{ foot} = 12\text{ inches}$ and $1\text{ minute} = 60\text{ seconds}$, what is this speed in feet per minute?

   • A) 3.75 feet per minute
   • B) 9 feet per minute
   • C) 2,700 feet per minute
   • D) 225 feet per minute
10. 10.

    A backup server uploads data at a constant rate of 450 megabytes per minute. Using the conversion ratios $1\text{ gigabyte} = 1{,}000\text{ megabytes}$ and $1\text{ hour} = 60\text{ minutes}$, what is this upload rate in gigabytes per hour?

    • A) 27 gigabytes per hour
    • B) 270 gigabytes per hour
    • C) 7.5 gigabytes per hour
    • D) 0.45 gigabytes per hour
11. 11.

    A spool of industrial wire has a linear density of 24 ounces per foot. Using the conversion ratios $1\text{ pound} = 16\text{ ounces}$ and $1\text{ yard} = 3\text{ feet}$, what is this linear density in pounds per yard?

    • A) 0.5 pounds per yard
    • B) 1.5 pounds per yard
    • C) 8.0 pounds per yard
    • D) 4.5 pounds per yard
12. 12.

    A piece of heavy machinery operates at a cost of 96 dollars per hour. Using conversion ratios, what is this rate in cents per minute?

    • A) 1.6 cents per minute
    • B) 57.6 cents per minute
    • C) 160 cents per minute
    • D) 576 cents per minute
13. 13.

    A floor section has an area of 3.5 square meters. Using conversion ratios, what is this area in square centimeters?

    • A) 350 square centimeters
    • B) 3,500 square centimeters
    • C) 35,000 square centimeters
    • D) 350,000 square centimeters
14. 14.

    A sheet of specialty paper has an areal density of 350 grams per square meter. Using conversion ratios, what is this areal density in milligrams per square centimeter?

    • A) 3,500 milligrams per square centimeter
    • B) 350 milligrams per square centimeter
    • C) 35 milligrams per square centimeter
    • D) 3.5 milligrams per square centimeter
15. 15.

    A vehicle travels at a constant speed of 90 kilometers per hour. Using conversion ratios, what is this speed in meters per second?

    • A) 25 meters per second
    • B) 324 meters per second
    • C) 150 meters per second
    • D) 250 meters per second
16. 16.

    A pump discharges water at a constant rate of 72 liters per minute. Using conversion ratios, what is this rate in milliliters per second?

    • A) 1.2 mL/s
    • B) 43.2 mL/s
    • C) 1200 mL/s
    • D) 72,000 mL/s