SOLUTION: Mrs Dang drove her daughter to school at the average speed of 45 miles per hour. she returend home by the same route at the average speed of 30 miles per hour. if the trip took one

Question 167096: Mrs Dang drove her daughter to school at the average speed of 45 miles per hour. she returend home by the same route at the average speed of 30 miles per hour. if the trip took one half hour, how long did it take to get to school?, how far is the school from their home?
Found 2 solutions by josmiceli, ankor@dixie-net.com:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
For the trip to school,
(1)
For the return trip,
(2)
where is the distance from home to school
Given:
(3)hrs
(3)
mi/hr
mi/hr
------------------------
(1)
(1)
(2)
(2)
Since is the same in both equations,

Substitute (3) for

hrs
(3)

hrs
It took .2 hrs to get to school, or minutes
Now find
(1)
(1)
(1) mi
The school is 9 mi from home
check:

OK
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Mrs Dang drove her daughter to school at the average speed of 45 miles per hour.
she returned home by the same route at the average speed of 30 miles per hour.
if the trip took one half hour, how long did it take to get to school?,
how far is the school from their home?
:
Let d = distance to the school
:
Write a time equation: Time =
To school time + return time = half hour
+ = .5
Multiply equation by 90 to get rid of the denominators:
90* + 90* = 90(.5)
cancel out the denominators;
2d + 3d = 45
:
5d = 45
d =
d = 9 miles
:
Find the time to get to school (Time = dist/speed)
9/45 = .2 hr or .2(60) = 12 min
:
:
Check solution find the time to return
9/30 = .3 hr or .3(60) = 18 min; (they add up to a half hr)
RELATED QUESTIONS
Mrs. Smith drove her daughter to school at an average rate of 45 miles per hour. She... (answered by ikleyn,greenestamps)
Mrs. Kerr drove from her home to her friend's house at an average speed of 55 miles per... (answered by mananth)
From her house, Ann drove to her grandmother's at an average speed of 60 miles per hour.... (answered by josgarithmetic,josmiceli)
HAVING TROUBLE WITH THIS PROBLEM MICHELLE RODE HER BICYCLE FROM HER HOUSE TO SCHOOL AT AN (answered by richwmiller)
hannah took a trip to visit her cousin.she drove 120 miles to reach her cousin's house... (answered by ankor@dixie-net.com)
Esther drove to work in the morning at an average speed of 45 miles per hour. She... (answered by solver91311)
Esther drove to work in the morning at an average speed of 45 miles per hour. She... (answered by josmiceli)
Esther drove to work in the morning at an average speed of 45 miles per hour. She... (answered by mananth)
Danielle drives from her home to the store at an average speed of 40 miles per hour. She... (answered by amoresroy)