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

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) (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
.
.

.
.

.
.

.
.
Substitute from above,

Substitute again for

Solve for .

Now work backwards,

.
.

Answer by stanbon(75887) (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
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Cheers,
Stan H.
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