Aslam can walk `5""2/5` km in one hour. How much distance will he cover in `3""1/4` hours ?

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Convert the mixed number for speed
Aslam can walk `5 2/5` km in one hour. We need to convert this mixed number into an improper fraction.

- **Calculation**:
\[ 5 \frac{2}{5} = 5 + \frac{2}{5} = \frac{5 \times 5 + 2}{5} = \frac{25 + 2}{5} = \frac{27}{5} \text{ km/hour} \]

### Step 2: Convert the mixed number for time
Next, we convert `3 1/4` hours into an improper fraction.

- **Calculation**:
\[ 3 \frac{1}{4} = 3 + \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4} \text{ hours} \]

### Step 3: Use the formula for distance
To find the distance covered, we use the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

- **Calculation**:
\[ \text{Distance} = \frac{27}{5} \text{ km/hour} \times \frac{13}{4} \text{ hours} \]

### Step 4: Multiply the fractions
Now we multiply the fractions together.

- **Calculation**:
\[ \text{Distance} = \frac{27 \times 13}{5 \times 4} = \frac{351}{20} \text{ km} \]

### Step 5: Convert to mixed number
Finally, we convert the improper fraction \(\frac{351}{20}\) into a mixed number.

- **Calculation**:
\[ 351 \div 20 = 17 \quad \text{(whole number)} \]
\[ \text{Remainder} = 351 - (20 \times 17) = 351 - 340 = 11 \]
Thus, \(\frac{351}{20} = 17 \frac{11}{20} \text{ km}\).

### Final Answer
Aslam will cover \(17 \frac{11}{20}\) km in \(3 \frac{1}{4}\) hours.

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