#### “Which of the following products of ratios gives the conversion factor to convert miles per hour (mi/h) to meters per second (m/s)?”

a. (5280 ft/mi) (12in/ft) (1 in/ 2.54cm) (1m/100cm) (1hr/3600s)

b. (5280 ft/mi) (12in/ft) (2.54cm/1in) (100cm/1m) (1hr/3600s)

c. (1 mi/5280 ft) (1 ft/ 12 in) (1 in/ 2.54cm) (100cm/1m) (3600s/1hr)

d. (5280 ft/mi) (12in/ft) (2.54cm/ 1 in) (1m/100cm) (1hr/3600s)

e. (5280 ft/mi) (12in/ft) (2.54cm/ 1 in) (1m/100cm) (3600s/ 1 hr)

**Answer:**

To convert mi/h to m/s, multiply by the conversion factor (5280 ft/mi) (12in/ft) (2.54cm/1in) (100cm/1m) (1hr/3600s).

**Explanation:**

The correct option to obtain the conversion factor to convert miles per hour (mi/h) to meters per second (m/s) is b. (5280 ft/mi) (12in/ft) (2.54cm/1in) (100cm/1m) (1hr/3600s).

To convert miles per hour to meters per second, we need to multiply by the conversion factor that relates feet to miles, inches to feet, centimeters to inches, centimeters to meters, and seconds to hours.

In this case, option b correctly provides the appropriate conversion factors, allowing us to convert mi/h to m/s.

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