SOLUTION: Please help! susan left her home at 7:00 am, driving her car at a rate of 45 mph. at 9:00 am her sister marion drove after her along the same highway traveling at the rate of 60 m

Algebra.Com
Question 517969: Please help!
susan left her home at 7:00 am, driving her car at a rate of 45 mph. at 9:00 am her sister marion drove after her along the same highway traveling at the rate of 60 mph. in how many hours did marion pass susan?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
How much of a head start in miles did Susan get?
( from 7 to 9 is 2 hours )
mi
Start a stopwatch when Marion leaves.
Now they each will travel different distances
for the same amount of time.
Let = the distance that Marion travels
----------
Susan's equation:
(1)
Marion's equation:
(2)
Substitute (2) into (1)
(1)
(1)
(1)
Marion will pass Susan in 6 hours
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK

RELATED QUESTIONS

susan left her home at 7am driving her car at the rate of 45 mph. at 9am her sister... (answered by Edwin McCravy)
susan left her home at 7am driving her car at the rate of 45 miles per hour. at 9am, her... (answered by FrankM)
Susan left her home, on foot, at 9:00 am at 1.5 mph. At 10:00 am her friend, following... (answered by palanisamy)
Susan left her home, on foot, at 9:00 am at 1.5 mph. At 10:00 am her friend, following... (answered by nerdybill)
Susan leaves home at 8am, driving to a friend's cabin. Her sister, Carol, leaves home an... (answered by solver91311)
Janet set off on a bicycle trip at 6:00 am at an average rate of 22 miles per hour. Her... (answered by josmiceli)
Mary is running to school. She leaves home at 7:00 am trotting at a speed of 12 mph. Her... (answered by ankor@dixie-net.com)
Mrs. Smith drove at a rate of 45 mph from her home to her sisters house. she spent 1.5... (answered by oberobic,checkley77)
sue drove at a rate of 45 mph from her home to her sister's house. she spent 1 1/2 hours... (answered by ankor@dixie-net.com)