SOLUTION: In the morning, Maria drove to her business appointment at 70 mph. Because of higher traffic in the afternoon, her average speed on the return trip was 60 mph. This made the retur

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: In the morning, Maria drove to her business appointment at 70 mph. Because of higher traffic in the afternoon, her average speed on the return trip was 60 mph. This made the retur      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 966041: In the morning, Maria drove to her business appointment at 70 mph. Because of higher traffic in the afternoon, her average speed on the return trip was 60 mph. This made the return trip take 1/4 hr longer. How far away was the appointment?
Found 2 solutions by ikleyn, lwsshak3:
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!

Let  x  be the distance Maria drove in one  (in each)  direction.
Then she spent  x%2F70  hours in the morning and  x%2F60  in the afternoon.  According to the condition,  you have an equation
x%2F60 - x%2F70 = 1%2F4.

To solve it,  multiply both sides by 60.70 = 4200.  You will get

70*x - 60*x = 4200%2F4 = 1050, or
10*x = 1050.

Hence,  x  = 105 miles.

Answer. The distance is  105 miles


Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
In the morning, Maria drove to her business appointment at 70 mph. Because of higher traffic in the afternoon, her average speed on the return trip was 60 mph. This made the return trip take 1/4 hr longer. How far away was the appointment?
***
let x=distance to appointment
travel time=distance/speed
x/60-x/70=1/4
4x/60-4x/70=1
lcd:60*70=4200
280x-240x=4200
40x=4200
x=105
How far away was the appointment? 105 mi