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

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

Explanation:

Hello , I can help you with this

remember how to convert mixed numbers to decimal numbers

`a(b)/(c)=((a*c)+b)/(c)`

Step one

convert into decimal numbers

`5(1)/(4)\ metric\ tons= ((5*4)+1)/(4)\ metric\ tons=(21)/(4)metric\ tons=5.25\ metric\ tons\\4(1)/(2)\ hours=((4*2)+1)/(2)\ hours=(9)/(2)\ hours=4.5\ hours`

Step two

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

`unit\ rate=(number\ of\ tons)/(number\ of\ hours) \\`

put the values into the equation

Let

tons=5.25 metric tons

hours=4.5 hours

`unit\ rate=(5.25\ tons)/(4.5\ hours)\\unit\ rate=1.16\ tons\ per\ hour`

Have a good day