Question

Recycling center a processes aluminum at rate of 100 pounds per hour, while recycling center b processes aluminum at a rate of 2 tons per week. Assuming that both centers operate all day every day, which center processes aluminum faster, and why?

Answer 1

Center a processes it faster

Explanation:

Center B math: 2 tons as pounds is 4000 pounds.

4000/7=571.43 pounds a day

571.43/24=23.81 pounds a hour

23.81 pounds per hour is less than 100 pounds an hour. so center a is the faster one.

Answer 2

Center A process aluminium faster

Because

Center A process 8.4 Tons of aluminium per week while center B processes 2 tons per week

Explanation:

Topic: Unit Conversion

Given

Center A Rate of Processing Aluminium

A = 100 pounds per hour

Center B Rate of Processing Aluminium

B = 2 tons per week

To solve this question, the following assumptions will be made

1. Both centers operate 24 hours a day
2. Both centers operate 7 days a week

Having said that, the first step is to make conversions.

We either convert pounds to tons or tons to pounds.

Converting Center A Rate of Processing Aluminium from Pounds to Tons

1 Pound = 0.0005 Tons

So, 100 Pounds = 0.0005 * 100

100 Pounds = 0.05 Tons.

So, Center A Rate of Processing Aluminium is 0.05 Tons per hour

Before we make comparison, both must be in the same unit.

i.e. either in Tons per hour or Tons per units.

Converting Center A Rate of Processing Aluminium from Tons per hour to Tons per week

There are 24 hours a day;

So, Center A Rate of Processing Aluminium is 0.05 Tons/hr* 24 hr/day

Converting Center A Rate of Processing Aluminium is 1.2 Tons / day

There are 7 days a week;

So, Center A Rate of Processing Aluminium is 1.2 Tons/ day * 7 days / week

Converting Center A Rate of Processing Aluminium is 8.4 Tons / week

At this point, we have the following

Center A Rate of Processing Aluminium = 8.4 Tons / week

Center B Rate of Processing Aluminium = 2 tons per week

By Comparison,

8.4 Tons per week is greater than 2 tons per week; So, Center A process aluminium faster