SOLUTION: Frank walks to the deli from his at house at 5mph. 10 minutes later; Frank's sister Megan starts riding her bike at 15 mph (from the same house) to the deli to meet Frank. They arr

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Frank walks to the deli from his at house at 5mph. 10 minutes later; Frank's sister Megan starts riding her bike at 15 mph (from the same house) to the deli to meet Frank. They arr      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1138103: Frank walks to the deli from his at house at 5mph. 10 minutes later; Frank's sister Megan starts riding her bike at 15 mph (from the same house) to the deli to meet Frank. They arrive at the same time. How far is the deli from their house? How long did it take Megan to get there?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let d be the distance under the question.


The "time" equation is


d%2F5 - d%2F15 = 1%2F6,


saying that the difference of times spent is 1%2F6 of an hour, i.e. 10 minutes.


To solve the equation, multiply both sides by 30. You will get


6d - 2d = 5,

4d = 5,

d = 5%2F4 miles = 1.25 miles.    ANSWER