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I got my answer form here: https://web2.0calc.com/questions/my-friend-any-help-is-appreciated

This answer is from CPhill:

At 3 mph....your friend covers  3 / 60   miles per minute

 

At 4 mph......you cover  4/ 60    miles per minute

 

So....every minute....you close    [  4 - 3 ]/ 60   =  1/ 60   miles  on your friend

 

And when she has been walking for 5 minutes......she will be  5 * [3  / 60 ]  = 15/60  = 1/4 of a mile ahead of you when you start 

 

So......the number of minutes, m, it will take to catch your friend can be found by :

 

( 1/60) m  = 1/4      multiply both sides by 60

 

m =  60  / 4   =    15 minutes

Jan 14, 2021

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