Anna and Tim saw two movies in one day. The two movies lasted 4 hours. One movie was half an hour longer than the other. How many hours did the shorter movie run?

To find out how many hours the shorter movie ran, we need to set up equations based on the information given:

Let x represent the duration of the shorter movie.
Since the other movie is half an hour longer, its duration can be represented as x + 0.5.

The total duration of the two movies is given as 4 hours.

So, the equation becomes:

x + (x + 0.5) = 4

Now, we can solve the equation to find the value of x.

Given movies of length m and n:

m + n = 4
m = n + 0.5

Solve for n, the shorter length.

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