SOLUTION: Donna is late for a sales meeting after traveling from one town to another at a speed of 32 mph. If she had traveled 4 mph faster, she could have made the trip in 1/2 hr less time.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Donna is late for a sales meeting after traveling from one town to another at a speed of 32 mph. If she had traveled 4 mph faster, she could have made the trip in 1/2 hr less time.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 628664: Donna is late for a sales meeting after traveling from one town to another at a speed of 32 mph. If she had traveled 4 mph faster, she could have made the trip in 1/2 hr less time. How far apart are the towns?
Found 2 solutions by dfrazzetto, MathTherapy:
Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
d = v*t
V1 = 32 mph
V2 = 32+4 = 36 mph
t1 = t
t2 = t - 1/2
distance is from one town to the other, so d1 and d2 are the same, set them equal
v1*t1 = v2*t2
32t = 36(t-1/2)
32t = 36t - 18
4t = 18
t = 4.5 hrs
d = v1*t1 = v2*t2 = 32(4.5) = 36(4) = 144 miles

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

Donna is late for a sales meeting after traveling from one town to another at a speed of 32 mph. If she had traveled 4 mph faster, she could have made the trip in 1/2 hr less time. How far apart are the towns?

Let distance between the towns be D

Then: D%2F32+-+D%2F%2832+%2B+4%29+=+1%2F2

D%2F32+-+D%2F36+=+1%2F2

9D – 8D = 144 ----- Multiplying by LCD, 288

D, or distance between the towns = highlight_green%28144%29 miles

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com