Question

While on vacation, Kira and her family visit Mount Rushmore in South Dakota. They watch a movie in the visitor center for
1

3
of an hour. This accounts for
1

6
of the total time they spend at Mount Rushmore.
Which equation can you use to find the total amount of time t Kira's family spends at Mount Rushmore?
Solve this equation for t to find the total amount of time Kira's family spends at Mount Rushmore.
To write a fraction, use a slash ( / ) to separate the numerator and denominator.

Answer 1

To find the total amount of time \( t \) that Kira's family spends at Mount Rushmore, you can set up the equation based on the information given. Since \( \frac{1}{6} \) of the total time \( t \) is equal to the time spent watching the movie, which is \( \frac{1}{3} \) of an hour, you can write the equation:

\[
\frac{1}{6} t = \frac{1}{3}
\]

Now, to solve for \( t \), you can multiply both sides of the equation by \( 6 \):

\[
t = 6 \times \frac{1}{3}
\]

Calculating the right side:

\[
t = \frac{6}{3} = 2
\]

Thus, the total amount of time \( t \) that Kira's family spends at Mount Rushmore is:

\[
t = 2 \text{ hours}
\]

In summary, the equation is \( \frac{1}{6} t = \frac{1}{3} \), and the solution gives \( t = 2 \) hours.