Yesterday Priti typed an essay of 5000 words at the speed of 60 words per minute . Today she typed the same essay faster and her speed was 15% more than yesterday . What is the approximate difference in the time she took to type yesterday and the time she took to type today ?

Options

A. 20 minutes
B. 30 minutes
C. 10 minutes
D. 40 minutes

Explanation

To solve the problem step by step, we will calculate the time Priti took to type the essay yesterday and today, and then find the difference between these two times.

### Step 1: Calculate the time taken yesterday
Priti typed 5000 words at a speed of 60 words per minute.

**Formula:**
\[ \text{Time} = \frac{\text{Total Words}}{\text{Speed}} \]

**Calculation:**
\[ \text{Time taken yesterday} = \frac{5000 \text{ words}}{60 \text{ words/minute}} = \frac{5000}{60} \approx 83.33 \text{ minutes} \]

### Step 2: Calculate today's speed
Today, Priti typed at a speed that is 15% more than yesterday's speed.

**Calculation:**
\[ \text{Today's speed} = 60 \text{ words/minute} \times \left(1 + \frac{15}{100}\right) = 60 \times 1.15 = 69 \text{ words/minute} \]

### Step 3: Calculate the time taken today
Using the same formula for time:

**Calculation:**
\[ \text{Time taken today} = \frac{5000 \text{ words}}{69 \text{ words/minute}} \approx 72.46 \text{ minutes} \]

### Step 4: Calculate the difference in time
Now, we will find the difference between the time taken yesterday and the time taken today.

**Calculation:**
\[ \text{Difference} = \text{Time taken yesterday} - \text{Time taken today} = 83.33 \text{ minutes} - 72.46 \text{ minutes} \approx 10.87 \text{ minutes} \]

### Final Answer
The approximate difference in the time she took to type yesterday and today is **10.87 minutes**.

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