SOLUTION: a student finishes the first half of an exam in 2/3 the time it takes him to finish the second half. If the entire exam takes him an hour, how many minutes does he spend on the fir

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: a student finishes the first half of an exam in 2/3 the time it takes him to finish the second half. If the entire exam takes him an hour, how many minutes does he spend on the fir      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1023917: a student finishes the first half of an exam in 2/3 the time it takes him to finish the second half. If the entire exam takes him an hour, how many minutes does he spend on the first half of the exam?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Account for time, totaling to 1 hour.

x, some amount of time, the second half of the examination.

%282%2F3%29x%2Bx=1, the two time portions, one for each half of the examination, were 1 hour.

Since question is how many minutes, remake the equation like this, for 60 MINUTES instead of as 1 hour:
%282%2F3%29x%2Bx=60, to account for MINUTES.

%285%2F3%29x=60

x-%283%2F5%2960

highlight%28x=36%29, minutes for second half of the exam.




---
Looking back from
%282%2F3%29x%2Bx=60
Factorize to
%282%2F3%2B1%29x=60

Basic fractions skills
%282%2F3%2B3%2F3%29x=60

%285%2F3%29x=60

%283%2F5%29%285%2F3%29x=%283%2F5%2960

x=%283%2F5%2960