Question

A machine can extract dirt from any construction siteat the rate of 800 kg per minute. in a given construction site, there is 1x10⁵ lb of dirt. how many minutes will it take for this machine to extract all the dirt from this site

Answer 1

To calculate the time required to extract 1x10⁵ lb of dirt using a machine with a rate of 800 kg/minute, we convert pounds to kilograms and then divide by the rate. The machine will take approximately 57 minutes to remove all the dirt.

Step-by-step explanation:

The student's question is about calculating the time it would take for a machine to extract dirt from a construction site. To find the answer, we need to address the unit conversion from pounds to kilograms and then use the rate of extraction in kilograms per minute. First, we convert 1x10⁵ lb of dirt to kilograms, knowing that 1 pound is approximately 0.453592 kilograms. Therefore:

1x10⁵ lb * 0.453592 kg/lb = 45,359.2 kg

Next, we use the extraction rate of the machine, which is 800 kg per minute, to determine the time needed to extract all the dirt:

45,359.2 kg ÷ 800 kg/min = 56.699 minutes

However, since we cannot have a fraction of a minute in practical terms, we round up to the nearest whole minute:

The machine will take 57 minutes to extract all the dirt from the construction site.