Luke can run a mile in 7 minutes. Colleen can run a mile in 5 minutes.
At this rate, how much longer would it take Luke to run 11 miles than it would take Colleen to run 11 miles?
Answer (3)
22 because 7 minutes per mile in 11 miles would be 77 minutes, and 5 minutes per mile in 11 miles would be 55 minutes. Therefore it takes Luke 22 more minutes than it takes Colleen to run the mile.
**Speed **of a object is defined as the total **distance **covered in the total **time **taken. To run 11 miles Luke take 22 minutes longer than the colleen to run 11 miles.
Given information-
**Luke **can run a mile in 7 minutes.
**Colleen **can run a mile in 5 minutes.
What is speed?
**Speed **of a object is defined as the total **distance **covered in the total **time **taken. Speed is the ratio of the distance d to the time taken t . Thus,
s = t d
As Luke can run 1 mile in 7 minutes. Thus the speed of the Luke is,
s l = 7 1
Thus the speed of the Luke is 1/7 miles per minute.
As Colleen can run 1 mile in 5 minutes. Thus the speed of the Colleen is,
s c = 5 1
Thus the speed of the Luke is 1/5 miles per minute.
The total **time **taken by the Luke to cover the 11 miles with the **speed **of 1/7 miles per minute is,
7 1 = t 11
Solve for t
t=11\times 7}\\t=77
Hence, the total time taken by Luke to run 11 miles is 77 minutes.
The total time taken by the **Colleen **to cover the 11 miles with the speed of 1/5 miles per minute is,
5 1 = t 11
Solve for t
t=11\times 5}\\t=55
Hence, the total time taken by **Colleen to run 11 **miles is 55 minutes.
Extra time taken by Luke to cover 11 miles than Colleen is,
t = 77 − 55 = 22
Hence to run **11 **miles Luke take 22 minutes **longer **than the **colleen **to run 11 miles.
Learn more about the **speed **here;
https://brainly.com/question/2292310
Luke takes 77 minutes to run 11 miles, while Colleen takes 55 minutes. Therefore, Luke takes 22 minutes longer than Colleen. The time difference is a straightforward calculation based on their individual mile times.
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