Question

Jane and Jack have a bicycling competition Jane rides a constant speed of 12 miles per hour while Jack rides at a constant speed of 330 feet per minute. How fast are Jane and Jack going in meters per second? Who finishes first? Show your factor-label method work. There are 5280 feet in one mile. There are 3.281 feet in one meter

Answer 1

Step-by-step explanation:

I don't know how you want the conversion done. I use dimensional analysis.

Jane

12 miles / hour [1.6 km/1 mile][1000 m/1 km][1 hour / 3600 sec]

12 * [1.6 * 3600 / 1000 m/s] = 69.12 m/s

5.33 m/s This answer is a bit shorter than using 5280 feet.

Using 5280 feet

12 miles / hour [5280 ft/1 mile] [1 m/3.281 feet] * [1 hr/3600 sec]

12 * 5280 / (3.281 * 3600)

12 *. 4470

5.36

Jack

330 feet / minute [ 1 meter / 3.281 feet] [1 minute / 60 seconds]

330 * 1/(3.281 * 60)

330 * 1/(196.86)

1.676 m/s

She's going faster than he is, no matter which method is used to do the calculation