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Answer:

6.67 miles per hour

Step-by-step explanation:

Took a test on this and made an 90 but got this question right.

The student's speed in miles per hour is 0.057 miles per 0.25 hour.

Give statements,

A student can run 100 yards in 15 seconds.

We need to convert the yards in seconds into miles per hour.

How many yards in a mile?

We have 1 mile equal to 1760 yards.

A student can run 100 yards in 15 seconds can be written as:

The student's speed = 100 yards per 15 seconds.

Converting yards into miles.

1760 yards = 1 mile

Multiplying 100 / 1760 on both sides we have,

( 100 / 1760 ) x 1760 yards = ( 100 / 1760 ) 1 mile

100 yards = 0.057 miles.

Converting second into hours.

60 seconds = 1 hour

Multiplying ( 15 / 60 ) on both sides we get,

( 15 / 60 ) x 60 seconds = ( 15 / 60 ) x 1 hour

15 seconds - 0.25 hour

So we have,

After converting yards in seconds into miles per hour.

we get,

0.057 miles in 0.25 hour

Thus, the student's speed in miles per hour is 0.057 miles per 0.25 hour.

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