SOLUTION: Mr. Abernathy had to go to truth or consequences, New Mexico. On the way there, he encountered all kinds of problems, so his speed was a measly 45 mph. On the way back, he followed

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Question 1139679: Mr. Abernathy had to go to truth or consequences, New Mexico. On the way there, he encountered all kinds of problems, so his speed was a measly 45 mph. On the way back, he followed the same route, but this time he was able to travel at a speed of 63 mph. If the total round trip took 12 hours, how many hours did it take for Mr. Abernathy to drive from his house to Truth and Consequences, New Mexico?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
                 SPEED           TIME          DISTANCE

GOING               45            d/45           d

RETURNING           63            d/63           d

TOTAL                             12

d%2F45%2Bd%2F63=12

Solve for d, and evaluate d%2F45.

--
7%2A5%2A9%28d%2F45%2Bd%2F63%29=7%2A5%2A9%2A12
7d%2B5d=12%2A7%2A9%2A5
12d=12%2A7%2A9%2A5
d=7%2A9%2A5
highlight_green%28d=315%29

Time going to, was highlight%28highlight%287%29%29 hours.

Answer by ikleyn(52815) About Me  (Show Source):
You can put this solution on YOUR website!
.
Mr. Abernathy had to go to truth or consequences, New Mexico. On the way there, he encountered all kinds of problems,
so his speed was a measly 45 mph. On the way back, he followed the same route, but this time he was able to travel
at a speed of 63 mph. If the total round trip took 12 hours, how many hours did it take for Mr. Abernathy to drive
from his house to Truth highlight%28cross%28and%29%29 or Consequences, New Mexico?
~~~~~~~~~~~~~~~~


            Pay attention on how I edited your post to make it correct ! 



Let "t" be that time under the question, in hours.


Then the time to go back is 12-t hours.


Then you have this "distance" equation


    45*t = 63*(12-t)


saying the the distance "to there" is the same as the distance back.


From the equation,


    45t = 63*12 - 63t

    45t + 63t = 63*12


    t = %2863%2A12%29%2F%2845%2B63%29 = 7.


ANSWER.  7 hours.

Solved.

----------------- 

    Truth or Consequences (T or C) is a city in and the county seat of Sierra County, New Mexico, United States. 

    In 2012, the population was 6,411. It has frequently been noted on lists of unusual place names.

From Wikipedia article https://en.wikipedia.org/wiki/Truth_or_Consequences,_New_Mexico


/\/\/\/\/\/\/

The major difficulty in this problem is to understand that the "truth" and "consequences" are not
two different English words, but the name of the place.

Ha - ha - ha.