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
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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(52776) (Show Source): You can put this solution on YOUR website!
Let be the distance Maria drove in one (in each) direction.
Then she spent hours in the morning and in the afternoon. According to the condition, you have an equation
- = .
To solve it, multiply both sides by . = . You will get
70*x - 60*x = = 1050, or
10*x = 1050.
Hence, x = 105 miles.
Answer. The distance is 105 miles
Answer by lwsshak3(11628) (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
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