SOLUTION: When asked the time of the day, a problem-posing professor answered, "if you add one-eighth of the time from noon until now to one-quarter the time now till noon tomorrow, you get

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: When asked the time of the day, a problem-posing professor answered, "if you add one-eighth of the time from noon until now to one-quarter the time now till noon tomorrow, you get      Log On


   

Question 1100346: When asked the time of the day, a problem-posing professor answered, "if you add one-eighth of the time from noon until now to one-quarter the time now till noon tomorrow, you get the time exactly", what time is it?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let time from noon to now = +x+
From now to noon tomorrow is +24+-+x+
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+%281%2F8%29%2Ax++%2B+%281%2F4%29%2A%28+24+-+x+%29++=+x+
+%281%2F8%29%2Ax+%2B+6+-+%281%2F4%29%2Ax+=+x+
+%281%2F8%29%2Ax+%2B+x+=+6+
+%289%2F8%29%2Ax+=+6+
+x+=+%288%2F9%29%2A6+
+x+=+16%2F3+
+x+=+5+%2B+1%2F3+
+%281%2F3%29%2A60+=+20+
The time is 5:20 PM
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check the math & get
another opinion if needed