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Mr. Ellis owns a landscaping company. He sends two crews to mow grass. Crew A mows $6$ acres in $7.5$ hours. Crew B mows $4.5$ acres in $6$ hours. Which crew is faster? $\newline$ Choices: $\newline$ (A)Crew A $\newline$ (B)Crew B

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Compare rates: word problems

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Q. Mr. Ellis owns a landscaping company. He sends two crews to mow grass. Crew A mows

6

acres in

7.5

hours. Crew B mows

4.5

acres in

6

hours. Which crew is faster?

\newline

Choices:

\newline

(A)Crew A

\newline

(B)Crew B

Calculate mowing rate Crew A: Calculate the mowing rate for Crew A. $\newline$ Number of acres mowed = $6$ $\newline$ Number of hours worked = $7.5$ $\newline$ Rate of work = Number of acres mowed $\div$ Number of hours worked $\newline$ Rate of work = $6 / 7.5 = 0.8$ acres per hour.
Calculate mowing rate Crew B: Calculate the mowing rate for Crew B. $\newline$ Number of acres mowed = $4.5$ $\newline$ Number of hours worked = $6$ $\newline$ Rate of work = Number of acres mowed $\div$ Number of hours worked $\newline$ Rate of work = $4.5 / 6 = 0.75$ acres per hour.
Compare rates Crew A and Crew B: Compare the rates of work for Crew A and Crew B. $\newline$ Crew A: $0.8$ acres per hour $\newline$ Crew B: $0.75$ acres per hour $\newline$ Since 0.8 > 0.75, Crew A is faster.

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