Question

A work crew can

pave 3/4 of a mile
of the interstate
in 6 3/4 hours.
What is their unit
rate for paving
the interstate?

Answer 1

Answer: 1/9 of a mile per hour

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Step-by-step explanation:

6 & 3/4 = 6 + 3/4 = 24/4 + 3/4 = (24+3)/4 = 27/4

The work crew paves 3/4 of a mile in 27/4 hours. Divide those two fractions:

(3/4) divide (27/4)

(3/4) times (4/27)

(3*4)/(4*27)

3/27

1/9

The unit rate is 1/9 of a mile per hour. In other words, for each hour, they are able to pave 1/9 of a mile on average. So we should expect it takes about 9 hours to pave a full mile.