what is the answer to this word problem?

Question

tatiana wants to run 5 miles at an average pace of 9 minutes per mile. after 4 miles, her average pace is 9 minutes 10 seconds. in how many minutes must she complete the the final mile to reach her goal?

Answer 1

Hi Jessica, using the equation: A = Sum of numbers / count, we can find the sum of the numbers.

 

Equation to get an average of 9 minutes per mile:

 

A = Sum of numbers / count

 

A = 9 minutes per mile

 

count = 5

 

Therefore, the sum of the numbers must be 45 minutes.

 

Equation to get an average of 9 minutes and 10 seconds per mile:

 

A = Sum of numbers / count

 

A = 9 minutes and 10 seconds

 

count = 4

 

The sum of the numbers is 4 * (9 minutes 10 seconds), or 36 minutes and 40 seconds.

 

Difference between the two:

 

The difference between the two sums is the time Tatiana must run the last or 5th mile to get the average of 9 minutes per mile.

 

Time of mile 5 = 45 minutes - 36 minutes 40 seconds

 

Time of mile 5 = 8 minutes and 20 seconds

 

Tatiana must run the last or 5th mile is 8 minutes and 20 seconds.

 

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