SOLUTION: I'm not sure if there's a more specific category to file under. "In a 3-hour examination of 350 questions, there are 50 mathematics problems. If twice as much time should be all

Question 150502This question is from textbook ARCO Master the Officer Candidate Tests
: I'm not sure if there's a more specific category to file under.
"In a 3-hour examination of 350 questions, there are 50 mathematics problems. If twice as much time should be allowed for each mathematics problem as for each of the other questions, how many minutes should be spent on the mathematics problems?"
I've read but only understand parts of the solution in the back of the book. It is this:
x = number of minutes for each math problem
x(50) + x/2(300) = 180 [x/2 i don't understand]
x = 180/200
50(180/200) = 45 minutes per question
Also, can you please let me know how to search for problems of this type so I can practice more? Thank you. This question is from textbook ARCO Master the Officer Candidate Tests

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
"In a 3-hour examination of 350 questions, there are 50 mathematics problems. If twice as much time should be allowed for each mathematics problem as for each of the other questions, how many minutes should be spent on the mathematics problems?"
I've read but only understand parts of the solution in the back of the book.
----------------------
It is this:
x = number of minutes for each math problem and there are 50 of them.
x/2 = number of minutes for each "other" problem and there are 300 or them.
-----------------------
Note: 3 hrs = 180 minutes
-----------------------
EQUATION:
time for math + time for others = 180
x(50) + (x/2)(300) = 180
50x + 150x = 180
200x = 180
x = (180/200) minutes is the time for EACH of the math problems
------------------------
50(180/200) = 45 minutes for ALL of the math problems
------------------------
Also, can you please let me know how to search for problems of this type so I can practice more? Thank you.
-------
May I suggest use Google on the internet and search for "algebra word problems".
You will find a multitude of sites.
======================
Cheers,
Stan H.

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