Respuesta :
Answer:
he worked a 16 hour shift. after his first 8 hours he worked 8 more. so 16 all together.
Step-by-step explanation:
The total time of the shift of work of Alfonso in which he earned $320 from a single shift is 8 hours.
What is the relation between work and time?
The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,
[tex]W=\dfrac{1}{n}[/tex]
Alfonso earns $16 per hour for the first eight hours of his shift. Thus, the total amount he earned in 8-hour shift is,
[tex]16\times8=128[/tex]
For each additional hour he works beyond the first eight hours, he earns $24 per hour. Let Alfonso worked x hours beyond her shift. Thus, the money earned by her in this additional x hours is,
[tex]24\times x=24x[/tex]
Alfonso earned a total $320 from a single shift. Thus,
[tex]128+24x=320\\x=\dfrac{320-128}{24}\\x=8\rm\; hours[/tex]
Hence, the total time of the shift of work of Alfonso in which he earned $320 from a single shift is 8 hours.
Learn more about the work and time here;
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