Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie correct? Explain.

Question

asked Nov 17, 2020 183k views

2 Answers

Janne Oksanen · Answer 1 · 2020-11-23T13:26:33+0000

Answer: No, Cammie is not correct. She can mow
$1(1)/(5)\ acres$ in one hour (See explanation).

Explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

1(1)/(4)=((1*4)+1)/(4)=(5)/(4)

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow
$(1)/(2)\ acre$ in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

((1)/(2))/(25)=(x)/(60)

Solving for "x", you get:

$((1)/(2))/(25)=(x)/(60)\\\\(60)((1)/(50))=x\\\\x=(6)/(5)$

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

x=1(1)/(5)

Therefore, she can mow
$1(1)/(5)\ acres$ in one hour.