SOLUTION: Which equation DOES NOT represent the problem? Sebastian's school bus averages 28mi/h, including stops. One day Sebastian forgot his backpack. His mom left home 15 minutes (0.25h)

Algebra ->  Equations -> SOLUTION: Which equation DOES NOT represent the problem? Sebastian's school bus averages 28mi/h, including stops. One day Sebastian forgot his backpack. His mom left home 15 minutes (0.25h)      Log On


   

Question 139756: Which equation DOES NOT represent the problem? Sebastian's school bus averages 28mi/h, including stops. One day Sebastian forgot his backpack. His mom left home 15 minutes (0.25h) after Sebastian and traveled at an average speed of 42 mi/h. How long did it take Sebastian's mom to catch the bus?
A.) 42t = 28(t+0.25)
B.) 42t = 28t + 0.25
C.) 14t = 7
D.) 42t = 28t + 7
Please help ASAP
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The distance travelled by Mom and the school bus have to be the same because if Mom catches the bus, they have to be in the same place. One has to presume that Sebastian boarded the bus directly in front of his home in order to solve this problem.

So, if Mom travelled for t hours, then the bus must have been travelling for t + 0.25 hours. Mom travelled at 42 mph, so her distance must be 42t miles because d=rt. Likewise, the bus must have travelled 28(t + 0.28) miles and these two distances are the same. So: 42t=28%28t%2B0.25%29, answer A. Two of the other answers are algebraically equivalent statements, and one is not. The one that is not is the correct answer to this question.