Problema Solution

Suppose I am walking from school at 3 miles per hour and start at 12:00. At 12:30, you start riding your bike at 18 miles per hour to find me. At what time do you find me?

Answer provided by our tutors

he answer is 


        "You find me at _______"


Let 


        t = the time after 12:00


We use the formula 


        distance = rate times time


Then my distance from school is


        3t


To find your distance from school, multiply the rate, 18 by the time since you left, t - 1/2.


        18 (t - 1/2)


We set the two equal to each other:


        3t  =  18(t - 1/2) 


        3t  =  18t - 9                                              distributing through


        -15t  =  -9                                                  subtracting 18t from both sides


        t  =  9/15  =  3/5  =  36/60 or 36 minutes.      dividing both sides by -15


        Hence you find me at 12:36.