ALGEBRA 2
posted by Emily .
Mrs. Smith drove at a rate of 45 mi/h from her home to her sister's house. She spent 1.5 hours having lunch with her sister. She then drove back home at a rate of 55 mi/h. The entire trip, including lunch, took 4 hours. How far does Mrs. Smith live from her sister?
I set it up like this: 45t+55t=2.5 hours
I got she lives 100 miles but I don't know for sure if I did it right. If someone could check my work I would love it. Thanks in advance.

ALGEBRA 2 
Marth
I do not get 100 miles.
Here is a better way to set up the equation:
let d = the distance between the two houses.
The total time is 4 hours. The time spent traveling can be found by manipulating V = d/t
t = d/V
So the time is the displacement divided by the velocity.
45/d + 55/d + 1.5 = 4
d = ? 
ALGEBRA 2 
Anonymous
40 miles
Respond to this Question
Similar Questions

math
Hannah took a trip yo visit her cousin. She drove 120 miles to reach her cousin's house and the same distance back home. a) It took her 1.2 hours to get halfway to her cousin's house. What was her average speed, in miles per hour, … 
Math
It took mike 2 2/5 hours to drive home. His sister drove same distance in 3/8 of mikes time how long did the drive take mikes sister? 
Math
It took mike 2 2/5 hours to drive home. His sister drove same distance in 3/8 of mikes time how long did the drive take mikes sister? 
math
Over the river and through the woods to grandpa's house the smith grandchildren go. They drive 120miles to reach grandpa's house and the same distance back home. 1) It took 1.2hours to get halfway there. What is their average speed, … 
College Algebra
Wilma drove at an average speed of 35 mi/h from her home in City A to visit her sister in City B. She stayed in City B 15 hours, and on the trip back averaged 50 mi/h. She returned home 41 hours after leaving. How many miles is City … 
Math
Wilma drove at an average speed of 35 mi/h from her home in City A to visit her sister in City B. She stayed in City B 15 hours, and on the trip back averaged 40 mi/h. She returned home 41 hours after leaving. How many miles is City … 
Algebra
Wilma drove at an average speed of 35 mi/h from her home in City A to visit her sister in City B. She stayed in City B 25 hours, and on the trip back averaged 55 mi/h. She returned home 40 hours after leaving. How many miles is City … 
algebra
Wilma drove at an average speed of 60 mi/h from her home in City A to visit her sister in City B. She stayed in City B 20 hours, and on the trip back averaged 50 mi/h. She returned home 45 hours after leaving. How many miles is City … 
Algebra
Austin drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Austin drove home, there was no traffic and the trip only took 5 hours. If his average rate was 21 miles per hour … 
Algebra
Christy drove at an average speed of 55 mi/h from her home in San Francisco to visit her sister in Tucson. She stayed in Tucson 10 hours, and on the trip back averaged 35 mi/h. She returned home 50 hours after leaving. How many miles …