Question 1190208: Travis and his sister Kate jog to school daily. Travis jogs at 9 miles per hour, and Kate jogs at 5 miles per hour. When Travis reaches school, Kate is 1/2 mile from the school. How far do Travis and Kate live from their school? How long does it take Travis to jog to school?
Answer by ikleyn(52810)   (Show Source):
You can put this solution on YOUR website! .
Travis and his sister Kate jog to school daily.
Travis jogs at 9 miles per hour, and Kate jogs at 5 miles per hour.
When Travis reaches school, Kate is 1/2 mile from the school.
How far do Travis and Kate live from their school? How long does it take Travis to jog to school?
~~~~~~~~~~~~~~~
Let d be the distance to the school (in miles).
Travis jogged d miles in  hours (to find the time, we divide the distanse by the rate).
At the same time, Kate jogged d-0.5 miles; her time jogging was  hours.
The Travis' time is the same as the Kate time, so we write this "time" equation
= hours.
To solve it, multiply both sides by 45. You will get
5d = 9*(d-0.5)
Simplfy and find d
5d = 9d - 4.5
4.5 = 9d - 5d
4.5 = 4d
d =  = 1.125.
Thus the distance to the school is 1.125 miles, or 1  miles. ANSWER
It takes Travis  = 0.125 hours to jog to school, which is 1/8 of an hour, or 7.5 minutes. ANSWER
CHECK. In 1/8 of an hour, Kate jogged 5/8 of a mile, and the difference
1 -  =  =  is exactly 0.5 of a mile, in accordance with the problem.
Solved, explained and checked.
|
|
|
