Question

Compute the unit rate. Choose all that are correct. 1 2 mile in each 1 4 hour is a rate of 1 8 miles per hour. 1 2 mile in each 1 8 hour is a rate of 4 miles per hour. 1 5 mile in each 1 10 hour is a rate of 2 miles per hour. 1 2 mile in each 1 6 hour is a rate of 1 12 miles per hour.

Answer 1

1 2 mile in each 1 8 hour is a rate of 4 miles per hour.    1 5 mile in each 1 10 hour is a rate of 2 miles per hour. 

Answer 2

The rate at which the object covers the distance over time is called its rate of speed or unit rate.

1/2 mile in each 1/8 hour is a rate of 4 miles per hour and 1/5 mile in each 1/10 hour is a rate of 2 miles per hour. The option B and C is the correct option.

What is unit rate?

The rate at which the object covers the distance over time is called its rate of speed or unit rate.

The unit rate is the ratio of distance traveled by the body in the time taken.It can be given as,

$s=\dfrac{d}{t}$

Here $d$ is distance and $t$ is time taken.

Given that,

• A) 1/2 mile in each 1/4 hour is a rate of 18 miles per hour.

Total distance cover by the body is 1/2 mile and total time taken by the body is 1/4 hours.

Thus the unit rate is,

$s=\dfrac{\dfrac{1}{2} }{\dfrac{1}{4} } \\s=\dfrac{4}{2}\\s=2$

Thus this is the incorrect option.

• B)  1/2 mile in each 1/8 hour is a rate of 4 miles per hour.

Total distance cover by the body is 1/2 mile and total time taken by the body is 1/4 hours.

Thus the unit rate is,

$s=\dfrac{\dfrac{1}{2} }{\dfrac{1}{8} } \\s=\dfrac{8}{2}\\s=4$

Thus this is the correct option.

• C)  1/5 mile in each 1/10 hour is a rate of 2 miles per hour.

Total distance cover by the body is 1/5 mile and total time taken by the body is 1/10 hours.

Thus the unit rate is,

$s=\dfrac{\dfrac{1}{5} }{\dfrac{1}{10} } \\s=\dfrac{10}{5}\\s=2$

Thus this is the correct option.

• D)1/2 mile in each 1/6 hour is a rate of 1/12 miles per hour.

Total distance cover by the body is 1/2 mile and total time taken by the body is 1/6 hours.

Thus the unit rate is,

$s=\dfrac{\dfrac{1}{2} }{\dfrac{1}{6} } \\s=\dfrac{6}{2}\\s=3$

Thus this is the incorrect option.

Hence 1/2 mile in each 1/8 hour is a rate of 4 miles per hour and 1/5 mile in each 1/10 hour is a rate of 2 miles per hour. The option B and C is the correct option.

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