Answer:
Approximately 3.1 hours.
Step-by-step explanation:
We have been given that Amy counted 60 numbers per minute and continued to count nonstop until she reached 11,000.
First of all, we will divide total numbers by number counted per minute to find minutes taken by Amy to count total numbers.
[tex]\text{Minutes taken by Amy to count total numbers}=\frac{11,000}{60}[/tex]
[tex]\text{Minutes taken by Amy to count total numbers}=\frac{550}{3}[/tex]
[tex]\text{Minutes taken by Amy to count total numbers}=183.33333[/tex]
We know that 1 hour equals 60 minutes, so we will divide 183.33333 by 60 to convert time in hours as:
[tex]\text{Hours taken by Amy to count total numbers}=\frac{183.33333}{60}[/tex]
[tex]\text{Hours taken by Amy to count total numbers}=3.055555[/tex]
[tex]\text{Hours taken by Amy to count total numbers}\approx 3.1[/tex]
Therefore, it will take Amy approximately 3.1 hours to complete the counting.