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Chapter 1: Problem 41

Imagine that you counted 60 numbers per minute and continued to count nonstop until you reached 10,000 . Determine a reasonable estimate of the number of hours it would take you to complete the counting.

Short Answer

Expert verified
It will take approximately 2.78 hours to count to 10,000 at a rate of 60 numbers per minute.

Step by step solution

01

Identify the Given Information

The given information is that you count 60 numbers per minute. This is the rate of counting. The total number to be counted is 10,000.
02

Calculate the Total Time in Minutes

To calculate the total time in minutes, divide the total number (10,000) by the rate of counting (60 numbers per minute) using the formula: Total time in Minutes = (Total numbers) / (Rate of counting). Then, \[Total time_{minutes} = 10,000 / 60 \approx 166.67\] minutes.
03

Convert Minutes to Hours

As the answer is needed in hours, the total time in minutes needs to be converted to hours. There are 60 minutes in an hour, therefore to convert minutes to hours use the formula: Total time in Hours = (Total time in Minutes) / 60. Then, \[Total time_{hours} = 166.67 / 60 \approx 2.78\] hours.

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