SOLUTION: driving from town A to town D, you pass thru town B then town C. town A to town B is 10 miles farther than from town B to town C. town B to town C is 10 miles farther than from t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: driving from town A to town D, you pass thru town B then town C. town A to town B is 10 miles farther than from town B to town C. town B to town C is 10 miles farther than from t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 335790: driving from town A to town D, you pass thru town B then town C. town A to town B is 10 miles farther than from town B to town C. town B to town C is 10 miles farther than from town C to town D. if town A is 390 miles from town D, how many mile is town A to town B??

A-------B-------C-------D
.-------------------------.=390

390/3=130
answer is 140 mi; just can't explain or show method; could you help?
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
AB-Distance from A to B
BC-Distance from B to C
CD-Distance from C to D
AD-Distance from A to D
.
.
AB=10%2BBC
BC=10%2BCD
.
.
AD=390
.
.
AD=AB%2BBC%2BCD
.
.
Substitute from above,
AD=10%2BBC%2B10%2BCD%2BCD
Substitute again for BC
AD=10%2B%2810%2BCD%29%2B10%2BCD%2BCD=390
Solve for CD.
3CD%2B30=390
3CD=360
CD=120
Now work backwards,
BC=10%2BCD%7D%7D%0D%0A%7B%7B%7BBC=10%2B120=130
.
.
AB=10%2BBC
AB=10%2B130=highlight%28140%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
driving from town A to town D, you pass thru town B then town C.
------------------------
town A to town B is 10 miles farther than from town B to town C.
town B to town C is 10 miles farther than from town C to town D.
---------------------------
if town A is 390 miles from town D, how many mile is town A to town B??
A-------B-------C-------D
.-------------------------.=390
=========================================
Let dist. from B to C be "x" miles.
Then dist. from A to B is "x+10" miles.
And dist. from C to D is "x -10" miles
===========================================
Equation:
x+10 + x + x-10 = 390
3x = 390
x = 130 miles
----
A to B = x+10 = 140
B to C = x = 130
C to D = x-10 = 120
=========================
Cheers,
Stan H.
=========================