Yesterday Shweta completed 300 units of work at the rate of 15 units per minute . Today she completed the same units of work but her speed was 40% faster than yesterday . What is the approximate difference in the time she took to complete the work yesterday and the time she took today ?

Options

A. 16 minutes
B. 26minutes
C. 46 minutes
D. 6 minutes

Explanation

To solve the problem, we need to determine the time Shweta took to complete the work yesterday and today, and then find the difference between those times.

### Step-by-Step Solution:

1. **Calculate Time Taken Yesterday:**
- Shweta completed 300 units of work at a rate of 15 units per minute.
- Time taken yesterday = Total work / Rate of work
- Time taken yesterday = 300 units / 15 units per minute = 20 minutes.

2. **Calculate Speed Today:**
- Shweta's speed today is 40% faster than her speed yesterday.
- Increase in speed = 40% of 15 units per minute = 0.4 * 15 = 6 units per minute.
- Speed today = Yesterday's speed + Increase in speed = 15 units per minute + 6 units per minute = 21 units per minute.

3. **Calculate Time Taken Today:**
- Shweta completed the same 300 units of work today at a rate of 21 units per minute.
- Time taken today = Total work / Rate of work
- Time taken today = 300 units / 21 units per minute ≈ 14.29 minutes.

4. **Calculate the Difference in Time:**
- Difference in time = Time taken yesterday - Time taken today
- Difference in time = 20 minutes - 14.29 minutes ≈ 5.71 minutes.

### Final Answer:
The approximate difference in the time she took to complete the work yesterday and the time she took today is about **5.71 minutes**.