SOLUTION: if i am going 45mph and i am a 1/2 a mile ahead of the other person, how fast would the other person be going to catch me in appr. 1 minute? And please show me the formula you use.

Question 777950: if i am going 45mph and i am a 1/2 a mile ahead of the other person, how fast would the other person be going to catch me in appr. 1 minute? And please show me the formula you use. THANKS
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You have head start of mi
Start a stop watch when the 2nd person is
mi behind.
Let = the time in hours on the stop watch
when the 2nd person catches the 1st
Let = the distance in miles the 2nd person
travels until catching the 1st person
Let = the rate in mi/hr of the 2nd person
--------------------------
1st person's equation:
(1)
2nd person's equation:
(2)
------------------
By substitution,

Multiply both sides by

The 2nd person must travel 75 mi/hr
--------------
check:
(2)
(2)
(2) mi
and
(1)
(1)
(1)
(1) mi
OK

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