SOLUTION: On a trip to the mountains, ms. jacobs drove her car at an average rate of 50 mph. due to the bad road conditions, the return trip took 3 hours longer, and she averaged only 30 mph

Algebra ->  Matrices-and-determiminant -> SOLUTION: On a trip to the mountains, ms. jacobs drove her car at an average rate of 50 mph. due to the bad road conditions, the return trip took 3 hours longer, and she averaged only 30 mph      Log On


   

Question 1169580: On a trip to the mountains, ms. jacobs drove her car at an average rate of 50 mph. due to the bad road conditions, the return trip took 3 hours longer, and she averaged only 30 mph. find out how much time she spent driving home. Solve using matrices
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

The ratio of rates is  5%2F3;  hence, the ratio of times is  3%2F5.


It means that if the time going to the mountains is 3x hours, then the time returning is 5x hours.



We are given that  5x - 3x = 3 hours;  hence,  2x = 3,  x= 3/2  hours  and


the time driving home is  5%2A%283%2F2%29 = 15%2F2 = 7.5 hours = 7 hours and 30 minutes.    ANSWER

Solved.

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Again,  I solved it without using matrices,  since I think that that request is  INADEQUATE.