SOLUTION: I need help solving this equation: My roommate walks at 3mph and it takes her 8 minutes to walk to class. I have the same class but walk faster at 5 mph. How long will it take m

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Question 1135650: I need help solving this equation: My roommate walks at 3mph and it takes her 8 minutes to walk to class. I have the same class but walk faster at 5 mph. How long will it take me to get to class?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let t be how long it take you to get to the class (in minutes; the unknown that the problem asks to find).


The distance your roommate walked was 3 mph * 8 minutes = 3%2A%288%2F60%29 miles.


The distance you walk is  5 mph * t minutes = 5%2A%28t%2F60%29 miles.



    Did you noticed that I converted each time from minutes to hours ?



The two distances are the same, so you have this equation


    3%2A%288%2F60%29 = 5%2A%28t%2F60%29


to find "t".  First, cancel the factor 60 in both denominators.  You will get then


     3*8 = 5*t.


From this equation,  t = %283%2A8%29%2F5 minutes = 24%2F5 minutes = 44%2F5 minutes = 4 minutes and 48 seconds.   ANSWER

Solved.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The distances are the same; the ratio of your speed to hers is 5:3. That means the ratio of your time to hers is 3:5.

ANSWER: 8*(3/5) = 24/5 minutes