SOLUTION: two cars pass on straight highway while traveling in opposite directions. one car is traveling 6 mph faster than the other car. after 1.5 hours the two cars will be 171 miles apart

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Question 1116210: two cars pass on straight highway while traveling in opposite directions. one car is traveling 6 mph faster than the other car. after 1.5 hours the two cars will be 171 miles apart . find the speed for both cars.
Found 3 solutions by addingup, ikleyn, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
x + x+6 = 171
2x+6 = 171
2x = 165
x = 82.5
82.5/1.5 = 55 mph this is the speed of the other car.
One car is traveling 6mph faster than the other car: 55 + 6 = 61 mph
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So there you have it:
One car: 61mph
The other: 55mph

Answer by ikleyn(52873) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the speed of the slower car, in miles per hour.

Then the speed of the faster car is (x+6) mph.


The distance equation is 


1.5x + 1.5*(x+6) = 171

1.5x + 1.5x + 9 = 171

3x = 171 - 9 = 162  ====>  x = 162%2F3 = 54.


Answer.  The speed of the slower car is 54 mph.  That of the faster car is 60 mph.

Solved.

Any other answer is   W R O N G.

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See introductory lessons on Travel and Distance problems
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.

They are written specially for you.

You will find the solutions of many similar problems there.

Read them and learn once for all from these lessons on how to solve simple Travel and Distance problems.

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Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

two cars pass on straight highway while traveling in opposite directions. one car is traveling 6 mph faster than the other car. after 1.5 hours the two cars will be 171 miles apart . find the speed for both cars.
Let speed slower car’s speed be S

Then faster car’s speed  = S + 6

We then get: 1.5S + 1.5(S + 6) = 171

1.5S + 1.5S + 9 = 171

3S = 162

S, or slower car’s speed = highlight_green%28matrix%281%2C4%2C+162%2F3%2C+or%2C+54%2C+mph%29%29

Faster car’s speed: highlight_green%28matrix%281%2C4%2C+54+%2B+6%2C+%22=%22%2C+60%2C+mph%29%29



This person "addingup" has had a lot of answers that DO NOT ADD UP. He's among many in this forum now that seems to have a "multitude" of

people who do not know what they're doing, and just continue to give wrong answers. I hope they'l quit soon!! I guess I don't have to tell

you to IGNORE that person's answers as it's obvious what the correct answers are.