Bhavna runs 10 times around a square field of side 80m. Her sister Sushmita runs 8 times around a rectangular field with length 150m and breadth 60m. Who covers more distance? By how much?

Answer

To solve the problem, we need to calculate the distance covered by both Bhavna and Sushmita and then compare the two distances. Let's break it down step by step.

### Step 1: Calculate the distance covered by Bhavna
1. **Find the perimeter of the square field.**
- The formula for the perimeter of a square is:
\[ \text{Perimeter} = 4 \times \text{side} \]
- Given that the side of the square is 80 m, we can calculate:
\[ \text{Perimeter} = 4 \times 80 = 320 \text{ m} \]

2. **Calculate the distance covered by Bhavna in 10 rounds.**
- Since Bhavna runs around the square field 10 times, the total distance is:
\[ \text{Distance} = 10 \times \text{Perimeter} = 10 \times 320 = 3200 \text{ m} \]

### Step 2: Calculate the distance covered by Sushmita
1. **Find the perimeter of the rectangular field.**
- The formula for the perimeter of a rectangle is:
\[ \text{Perimeter} = 2 \times (\text{length} + \text{breadth}) \]
- Given that the length is 150 m and the breadth is 60 m, we can calculate:
\[ \text{Perimeter} = 2 \times (150 + 60) = 2 \times 210 = 420 \text{ m} \]

2. **Calculate the distance covered by Sushmita in 8 rounds.**
- Since Sushmita runs around the rectangular field 8 times, the total distance is:
\[ \text{Distance} = 8 \times \text{Perimeter} = 8 \times 420 = 3360 \text{ m} \]

### Step 3: Compare the distances
1. **Determine who covered more distance.**
- Bhavna covered 3200 m, and Sushmita covered 3360 m.
- Since 3360 m > 3200 m, Sushmita covered more distance.

2. **Calculate by how much more distance Sushmita covered.**
- The difference in distance is:
\[ \text{Difference} = \text{Distance covered by Sushmita} - \text{Distance covered by Bhavna} = 3360 - 3200 = 160 \text{ m} \]

### Final Answer
Sushmita covered more distance than Bhavna by **160 meters**.

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