Anjali covers `43 (1)/(2)` km in `7 (1)/(4)` hours and Nisha covers `27 (5)/(8)` km in `4 (1)/(4) `hours Who walks faster. Who walks faster and by how much?

Answer

To determine who walks faster between Anjali and Nisha, we need to calculate their speeds using the formula:

**Speed = Distance / Time**

### Step 1: Convert Mixed Numbers to Improper Fractions

**For Anjali:**
- Distance: \(43 \frac{1}{2} = \frac{87}{2}\) km
- Calculation: \(43 \times 2 + 1 = 86 + 1 = 87\), so \( \frac{87}{2} \) km.

- Time: \(7 \frac{1}{4} = \frac{29}{4}\) hours
- Calculation: \(7 \times 4 + 1 = 28 + 1 = 29\), so \( \frac{29}{4} \) hours.

**For Nisha:**
- Distance: \(27 \frac{5}{8} = \frac{221}{8}\) km
- Calculation: \(27 \times 8 + 5 = 216 + 5 = 221\), so \( \frac{221}{8} \) km.

- Time: \(4 \frac{1}{4} = \frac{17}{4}\) hours
- Calculation: \(4 \times 4 + 1 = 16 + 1 = 17\), so \( \frac{17}{4} \) hours.

### Step 2: Calculate Speeds

**For Anjali:**
- Speed = Distance / Time = \( \frac{87/2}{29/4} \)
- This simplifies to \( \frac{87}{2} \times \frac{4}{29} = \frac{348}{58} = \frac{174}{29} \approx 6\) km/h.

**For Nisha:**
- Speed = Distance / Time = \( \frac{221/8}{17/4} \)
- This simplifies to \( \frac{221}{8} \times \frac{4}{17} = \frac{884}{136} = \frac{221}{34} \approx 6.5\) km/h.

### Step 3: Compare Speeds

- Anjali's speed: \(6\) km/h
- Nisha's speed: \(6.5\) km/h

### Step 4: Determine Who Walks Faster and By How Much

- Nisha walks faster than Anjali.
- To find the difference: \(6.5 - 6 = 0.5\) km/h.

### Final Answer:
Nisha walks faster than Anjali by \(0.5\) km/h.

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