A turtle walks 3/4 of a mile in 40 minutes. What is the unit rate when the turtle’s speed is expressed in miles per hour? Write your answer as a single improper fraction or mixed number.

Answer 1

40 minutes = 2/3 hour

(3/4) / (2/3)

(3/4)(3/2) divice by fraction, invert and multiply

9

Answer 2

First, convert the time to hours 40 min (1hr/60min) --> 2/3 hr.

The turtle travels 3/4 mile every 2/3rds of an hour. -->(3/4 mile) / (2/3 hour)

Fixing the compound fraction by multiplying by the inverse of the denominator. --> 3/4 mile * 3/2 hours ^-1

--> (3*3)/(4*2) miles/hour --> 9/8 miles/hour or 1 1/8 miles/hour