SOLUTION: Write and Solve an Equation, inequality, or system of equations to answer the question. Two Sisters left at the same time to travel home. Susanna drove at 65 miles per hour and

Algebra ->  Equations -> SOLUTION: Write and Solve an Equation, inequality, or system of equations to answer the question. Two Sisters left at the same time to travel home. Susanna drove at 65 miles per hour and      Log On


   

Question 609723: Write and Solve an Equation, inequality, or system of equations to answer the question.
Two Sisters left at the same time to travel home. Susanna drove at 65 miles per hour and started 9 miles farther from home than Rachel. Rachel drove at 55 miles per hour. They reached home at the same time. How far was each girl from home?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two Sisters left at the same time to travel home.
Susanna drove at 65 miles per hour and started 9 miles farther from home than Rachel.
Rachel drove at 55 miles per hour.
They reached home at the same time.
How far was each girl from home?
;
Let d = Rachel's distance from home
then
(d+9) = Susanna's distance
:
Write a time equation; time = dist/speed
Their travel times are equal.
:
d%2F55 = %28%28d%2B9%29%29%2F65
cross multiply
65d = 55(d+9)
65d = 55d + 495
65d - 55d = 495
10d = 495
d = 495/10
d = 49.5 mi, R's distance
then
49.5 + 9 = 58.5 mi, S's distance
:
:
:
See if that checks out; find the time of each; they should be equal.
49.5/55 = .9 hrs
58.5/65 = .9 hrs