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(52776)   (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(10551)   (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.
RELATED QUESTIONS
1) Stan has 14 bills in his wallet worth $95 altogether. If the wallet contains only $5... (answered by addingup)
Maria normally spends half an hour driving to work. When her average speed is ten miles... (answered by josgarithmetic)
Ms. Walker drives to work at a speed of 60 miles per hour. On her trip home from work,... (answered by stanbon)
Consuela biked 20 miles. If she had increased her average speed by 4 miles per hour, the... (answered by Boreal)
A woman drives 10 miles, then increases her speed by 10 miles per hour and drives 25... (answered by fractalier)
amy drove 200 miles at an average speed 10 miles per hour faster than her usual speed. if (answered by stanbon,mamiya)
harry drives his car for 15 miles at a certain speed. he then increases his speed by 10... (answered by josgarithmetic)
1. If it takes 5 hours to travel 250 miles, how long will it take to travel 900 miles? (answered by josmiceli)
A man drive to a town at an average speed of 60 miles per hour. He returns by a road... (answered by ankor@dixie-net.com)