Question

Since there are 5,280 feet in one mile and 3.3 feet in one meter, how many meters per second are equivalent to 60 miles per hour?
a.) 26 $\frac{2}{3}$ meters per second
b.) 198 meters per second
c.) 266 $\frac{2}{3 \frac{2}{3} }$ meters per second
d.) 290 $\frac{2}{5}$
please explain.

Answer 1

Given:
1 mile = 5280 feet
1 meter = 3.3 feet

convert 60 miles per hour to meters per second

60 miles to meters

60 miles x 5280ft x 1meter = (60*5280m)/3.3 = 316800m/3.3
                  1 mile    3.3ft
= 96,000 meters

1 hour to seconds

1 hour x 60 minutes x 60 seconds =   1 * 60 * 60sec = 3600 seconds 
                1 hour            1 minute

unit rate: meters per second

96000 meters ÷ 3600 seconds = 26 2400/3600 
simplify 26 2400/3600 ⇒ 26 2/3 meters per second

2400 ÷ 1200 = 2
3600 ÷ 1200 = 3