Question

A construction company can remove 5 1/4 metric tons of dirt from a construction site in 4 1/2 hours what is the unit rate in metric tons per hour???

Answer 1

Answer:

$unit\ rate=1.16\ tons\ per\ hour$

Step-by-step explanation:

Hello , I can help you with this

remember how to convert mixed numbers to decimal numbers

$a\frac{b}{c}=\frac{(a*c)+b}{c}$

Step one

convert into decimal numbers

$5\frac{1}{4}\ metric\ tons= \frac{(5*4)+1}{4}\ metric\ tons=\frac{21}{4}metric\ tons=5.25\ metric\ tons\\4\frac{1}{2}\ hours=\frac{(4*2)+1}{2}\ hours=\frac{9}{2}\ hours=4.5\ hours$

Step two

the unit rate in metric tons per hour is given by:

$unit\ rate=\frac{number\ of\ tons}{number\ of\ hours}$

put the values into the equation

Let

tons=5.25 metric tons

hours=4.5 hours

$unit\ rate=\frac{5.25\ tons}{4.5\ hours}\\unit\ rate=1.16\ tons\ per\ hour$

Have a good day