Question

What is the equation that relates the number of days to the total training time if my athlete trains for 115 minutes each day for a total of 920 minutes?

Answer 1

To find the equation that relates the number of days to the total training time, we start by noting that the athlete trains for 115 minutes each day.

Let \( d \) represent the number of days trained. The total training time (in minutes) can be expressed as the product of the number of days and the training time per day:

\[
\text{Total training time} = \text{number of days} \times \text{training time per day}
\]

Substituting the known values into this formula gives:

\[
\text{Total training time} = d \times 115
\]

Since we know the total training time is 920 minutes, we can write the equation as:

\[
d \times 115 = 920
\]

To solve for \( d \), we can divide both sides of the equation by 115:

\[
d = \frac{920}{115}
\]

Calculating the right-hand side:

\[
d = 8
\]

So, the athlete trained for 8 days. Therefore, the equation relating the number of days \( d \) to the total training time is:

\[
d \times 115 = 920
\]

In general, for any total training time \( T \), the equation can be expressed as:

\[
d \times 115 = T
\]