Archana is driving down to Delhi for a vacation and has already travelled 96.35 km. If she has travelled 47/100 of the distance, then what is the total distance that she drives to reach Delhi?

To determine the total distance Archana needs to drive to reach Delhi, we can use the given information that she has already traveled 96.35 km, which is 47/100 of the total distance.

Let's denote the total distance to Delhi as \( D \).

According to the problem:
\[
\frac{47}{100} \times D = 96.35 \text{ km}
\]

To find \( D \), we can rearrange the equation:
\[
D = \frac{96.35 \times 100}{47}
\]

Now, let's calculate it:

\[
D = \frac{9635}{47} \approx 205 \text{ km}
\]

So, the total distance that Archana drives to reach Delhi is approximately 205 km.

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. If Archana had traveled 50% of the distance instead of 47%, how much further would she have gone?
2. How much distance is left for Archana to reach Delhi?
3. If Archana's average speed is 60 km/h, how long will it take her to cover the remaining distance?
4. What would be the total distance if she had already traveled 120 km, and that was 60% of the total distance?
5. How far would Archana have traveled if she had completed 75% of her journey?

**Tip:** When dealing with fractions of a total quantity, multiplying the fraction by the total can help you determine the part of the quantity.

Learn how to calculate the total distance Archana needs to travel to Delhi based on the distance already traveled and the given proportion. This problem involves solving a fractional equation and understanding proportions. Suitable for students in Grades 6-8.

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