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Walking at a constant rate, Stuart takes...

Walking at a constant rate, Stuart takes 24 minutes to walk to the nearest bus stop and `(1)/(3)` of that time to walk to the movie theater. If takes him half the time to walk to school than it does for him to walk to the movie theater. How many minutes does it take stuart to walk to school?

A

`36`

B

`24`

C

`8`

D

`4`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we can follow these instructions: ### Step 1: Determine the time taken to walk to the movie theater. Stuart takes 24 minutes to walk to the nearest bus stop. The time taken to walk to the movie theater is one-third of that time. \[ \text{Time to walk to the movie theater} = \frac{1}{3} \times 24 \text{ minutes} = 8 \text{ minutes} \] ### Step 2: Determine the time taken to walk to school. The problem states that it takes Stuart half the time to walk to school compared to the time it takes to walk to the movie theater. \[ \text{Time to walk to school} = \frac{1}{2} \times \text{Time to walk to the movie theater} = \frac{1}{2} \times 8 \text{ minutes} = 4 \text{ minutes} \] ### Conclusion: Thus, the time taken by Stuart to walk to school is 4 minutes. ---
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