Reenu types 540 words during half an hour. How many words would she type in 8 minutes?

Answer

To solve the problem step by step, we will use the concept of direct proportions.

### Step 1: Understand the given information
Reenu types 540 words in half an hour. We need to find out how many words she types in 8 minutes.

### Step 2: Convert half an hour into minutes
Half an hour is equal to 30 minutes. So, we have:
- Time taken = 30 minutes
- Words typed = 540 words

### Step 3: Set up the proportion
We want to find out how many words (let's call this \( x \)) Reenu types in 8 minutes. Since the number of words typed is directly proportional to the time spent typing, we can set up the following proportion:
\[ \frac{30 \text{ minutes}}{8 \text{ minutes}} = \frac{540 \text{ words}}{x \text{ words}} \]

### Step 4: Cross-multiply to solve for \( x \)
Cross-multiplying gives us:
\[ 30 \cdot x = 8 \cdot 540 \]

### Step 5: Calculate the right side
Now, calculate \( 8 \cdot 540 \):
\[ 8 \cdot 540 = 4320 \]
So, we have:
\[ 30x = 4320 \]

### Step 6: Solve for \( x \)
Now, divide both sides by 30 to find \( x \):
\[ x = \frac{4320}{30} \]

### Step 7: Perform the division
Calculating \( \frac{4320}{30} \):
\[ x = 144 \]

### Conclusion
Reenu types **144 words** in 8 minutes.

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