SOLUTION: Libby drive to work 1 hour. If she increases her average speed by 10 miles per hour, the trip takes 3/4 hour. Find the distance she drives to work

Question 1118486: Libby drive to work 1 hour. If she increases her average speed by 10 miles per hour, the trip takes 3/4 hour. Find the distance she drives to work
Found 4 solutions by addingup, Alan3354, ikleyn, MathTherapy:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
1x = 0.75x+10
0.25x = 10
x = 40
She drives 40 miles to work.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Libby needs to get off the brakes and go to work.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Let x be Libby's regular speed (in the first scenario), in miles per hour. Then the distance to work is distance = d = time*speed = 1 hour * x miles per hour = x miles. This distance is equal to time*speed in the second scenario: d = 0.75*(x+10) miles. (0.75 of an hour = 3/4 of an hour.) Distance is the same, which gives you an equation x = 0.75*(x+10), Simplify and solve for x: x = 0.75x + 7.5, x - 0.75x = 7.5 0.25x = 7.5 ====> x = = 30 miles per hour. Answer. The distance to work is 30 miles.

The solution by @addingup is incorrect.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Libby drive to work 1 hour. If she increases her average speed by 10 miles per hour, the trip takes 3/4 hour. Find the distance she drives to work

Let distance be D
Then we get the following SPEED equation:

3D + 30 = 4D
30 = 4D - 3D
Distance, or
IGNORE all other INCORRECT ANSWERS.
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