Question

A middle school basketball game includes 32 minutes of playing time . What percentage of the game gas passed when the time remaining is one third of the time played so far

Answer 1

Let x represent the time played so far. Then the time remaining is x/3.

(Time remaining) + (time played so far) = 32 minutes total. Substituting,

x/3 + x = 32 min

4x/3 = 32 min

x = (3/4)(32 min) = 24 min
= time played so far

At this point the fraction of the game already passed is

24 min
---------- = 3/4 and this is equivalent to 75%.
32 min