Max reads for the same number of minutes each morning. Each evening, he reads for two-thirds of the time he read in the morning. Max reads for 60 minutes each day.

Question

Question
How many minutes does Max read each evening? Enter the answer in the box.

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minutes

Answer 1

To determine how many minutes Max reads each evening, we can set up the problem using the relationship between his morning and evening reading times.

Let \( m \) be the number of minutes Max reads each morning. According to the problem, each evening he reads for two-thirds of the time he reads in the morning. Therefore, his evening reading time can be expressed as:

\[ \text{Evening reading time} = \frac{2}{3} m \]

We know from the problem statement that the total reading time each day (morning and evening) is 60 minutes. This can be expressed as:

\[ m + \frac{2}{3} m = 60 \]

To combine the terms, we can rewrite \( m \) in terms of thirds:

\[ m + \frac{2}{3} m = \frac{3}{3} m + \frac{2}{3} m = \frac{5}{3} m \]

Now we can set up the equation:

\[ \frac{5}{3} m = 60 \]

To solve for \( m \), we can multiply both sides by \( \frac{3}{5} \):

\[ m = 60 \times \frac{3}{5} = 36 \]

So, Max reads for 36 minutes each morning. Now, we can find out how many minutes he reads each evening:

\[ \text{Evening reading time} = \frac{2}{3} m = \frac{2}{3} \times 36 = 24 \]

Thus, Max reads \( \boxed{24} \) minutes each evening.