Let’s solve the problem from the image.

Problem Breakdown:

1. Tanya ran 3 1/2 miles in 42 minutes.

   • In fraction form, $3 \frac{1}{2} = \frac{7}{2}$.

2. Jana’s time for the same distance is 1/6 less than Tanya’s time.

   • Tanya’s time = 42 minutes.
   • Jana’s time will be $42 - \frac{1}{6} \times 42$.

3. We need to find how long it took Jana to run 3 1/2 miles.

Step-by-Step Solution:

1. Find $\frac{1}{6}$ of Tanya's time: $\frac{1}{6} \times 42 = \frac{42}{6} = 7 \, \text{minutes}.$

2. Subtract this from Tanya's time to find Jana’s time: $42 - 7 = 35 \, \text{minutes}.$

Final Answer:

It took Jana 35 minutes to run 3 1/2 miles.

The correct option is: B. 35 minutes

Do you have any questions or want further details? Here are some related questions to expand your understanding:

1. How do you calculate percentages or fractions of a number?
2. If Jana ran the same distance 10% faster, how long would it take her?
3. How do you convert mixed fractions to improper fractions?
4. How would you calculate the average speed for Tanya and Jana?
5. What would be the time difference if Tanya ran 1/4 slower instead?

Tip:

Always convert mixed numbers to improper fractions when performing mathematical operations for clarity and accuracy.