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  1. Home
  2. 12th grade
  3. Algebra I
  4. Exercise : Find a unit rate

Find a unit rate Algebra I

A train travels 125 miles in 3.5 hours.

What is its speed in miles per hour, rounded to 2 decimal places ?

In order to find a speed in mph, divide the distance traveled in miles by the duration of travel in hours.

In this case:

\dfrac{125}{3.5}\approx35{,}71

The speed of the train is about 35.71 mph.

A car travels 90 kilometers in 2.5 hours.

What is its speed in kilometers per hour, rounded to 2 decimal places ?

In order to find a speed in kph, divide the distance traveled in kilometers by the duration of travel in hours.

In this case:

\dfrac {90} {2.5} \ = 36

The speed of the car is 36 kph.

A rocket travels 300 miles in 10 minutes.

What is its speed in miles per hour, rounded to 2 decimal places ?

In order to find the speed in mph, divide the distance traveled in miles by the duration of travel in hours.

In this case:

\dfrac {300} {\dfrac{1}{6}} =1\ 800

The speed of the rocket is 1800mph.

A car travels 300 miles on 11 gallons of gas.

What is its miles per gallon, rounded to 2 decimal places ?

In order to find a mpg, divide the distance traveled in miles by the number of gallons used.

In this case:

\dfrac {300} {11} \approx 27.27

The mpg of the car is about 27.27.

A snail travels 10 meters in 7 hours.

What is its speed in meters per hour, rounded to 2 decimal places ?

In order to find a speed in mph (meters per hour), divide the distance traveled in meters by the duration of travel in hours.

In this case:

\dfrac {10} {7} \approx 1.43

The speed of the snail is about 1.43 mph.

A woman runs 26.2 miles in 3 hours.

What is her speed in miles per hour, rounded to 2 decimal places ?

In order to find a speed in mph, divide the distance traveled in miles by the duration of travel in hours.

In this case:

\dfrac {26.2} {3} \approx 8.73

The speed of the woman is about 8.73 mph.

An airplane travels 500 miles in 1.75 hours.

What is its speed in miles per hour, rounded to 2 decimal places ?

In order to find a speed in mph, divide the distance traveled in miles by the duration of travel in hours.

In this case:

\dfrac {500} {1.75} \approx 285.71

The speed of the airplane is about 285.71 mph.

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See also
  • Course : Manipulating quantities
  • Exercise : Determine if two ratios are equivalent
  • Exercise : Find a unit price
  • Exercise : Find a percent of change
  • Exercise : Find a value after a certain percent of change
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