https://file.aiquickdraw.com/mathbot/file/17295164313390jrdobhe.jpg

Let's analyze the problem presented in Q.No: 59:

### Problem Breakdown:
- A boy runs 20 km in 2.5 hours.
- The goal is to find how long he will take to run 32 km at **double** the previous speed.

### Step-by-Step Solution:
1. **Find the boy’s original speed**:
   \[
   \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{20 \text{ km}}{2.5 \text{ hours}} = 8 \text{ km/h}
   \]

2. **Double the speed**:
   At double the previous speed:
   \[
   \text{New speed} = 2 \times 8 = 16 \text{ km/h}
   \]

3. **Find the time to cover 32 km at the new speed**:
   \[
   \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{32 \text{ km}}{16 \text{ km/h}} = 2 \text{ hours}
   \]

So, the correct answer is **2 hours** (which is marked correctly in green in the image).

Would you like further details on any part of the explanation? Here are some related questions:

1. How would the time change if the distance increased to 40 km but the speed remained the same (16 km/h)?
2. What would happen if the boy reduced his speed to half the original (4 km/h) for 32 km?
3. How is speed affected if the time to cover the same distance is halved?
4. What is the formula for finding time when speed and distance are known?
5. If the boy ran 60 km in 3.75 hours at a constant speed, what would his speed be?

**Tip**: Always make sure the units of distance and time are consistent before performing speed-related calculations!

A boy runs 20 km in 2.5 hours. How long will he take to run 32 km at double the previous speed?

Learn how to calculate the time required for a boy to run 32 km at double the speed of his initial run, where he covered 20 km in 2.5 hours. This problem involves key concepts in speed, distance, and time, with practical applications for ratio and proportion.

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