SOLUTION: Carla take a trip from town A to town B. She drives to town B at a rate of 55 miles per hour. She then takes a plane, which travels at a rate of 175 miles per hour back to town A,

Question 250663: Carla take a trip from town A to town B. She drives to town B at a rate of 55 miles per hour. She then takes a plane, which travels at a rate of 175 miles per hour back to town A, if the total traveling time is 10 hours, to the nearest mile, what is the distance between the two towns?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Carla take a trip from town A to town B.
She drives to town B at a rate of 55 miles per hour.
She then takes a plane, which travels at a rate of 175 miles per hour back to town A,
if the total traveling time is 10 hours, to the nearest mile,
what is the distance between the two towns?
:
Let d = distance between the two towns
:
Write a time equation: Time = dist/speed
:
Time to B + Time to A = 10 hrs
+ = 10
Multiply equation by 9625 (55*175); results
175d + 55d = 9625(10)
:
230d = 96250
:
d = 418.47826 ~ 418 miles from A to B
;
:
Check solution
418/55 + 418/175 =
7.6 + 2.4 = 10 hrs

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