Question

Songhee leisurely rides her bicycle at 10 miles per hour. In about 675 revolutions of the wheel, Songhee travels one mile. Use a unit multiplier to convert 10 miles per hour to revolutions per hour.

Answer 1

Since in about 675 revolutions of the wheel, Songhee travels one mile, then in about:

$675\times10\text{ revolutions}$

Songhee travels 10 miles.

Then:

$10\text{mi}\leftrightarrow6750\text{ revolutions.}$

Now, we know that Songhee rides her bicycle at 10 miles per hour, substituting 10mi=6750revolutions we get that Songhee rides her bicycle at:

$6750\text{revolutions per hour.}$

Answer: 6750 revolutions per hour.