If A travels three fifth of a certain distance on a day and the rest the next day then what part of the distance he travels on the second day?

Options

A. 44260
B. 44232
C. 44201
D. 44291

Answer

To solve the problem step by step, let's denote the total distance A has to travel as \( d \).

### Step 1: Determine the distance traveled on the first day.
A travels three-fifths of the distance on the first day. This can be expressed mathematically as:
\[ \text{Distance traveled on Day 1} = \frac{3}{5}d \]

### Step 2: Calculate the remaining distance for the second day.
To find out how much distance is left for the second day, we subtract the distance traveled on the first day from the total distance:
\[ \text{Distance traveled on Day 2} = d - \frac{3}{5}d \]

### Step 3: Simplify the expression for the distance traveled on the second day.
We can factor out \( d \) from the equation:
\[ \text{Distance traveled on Day 2} = d \left(1 - \frac{3}{5}\right) \]
Now, we need to simplify \( 1 - \frac{3}{5} \):
\[ 1 - \frac{3}{5} = \frac{5}{5} - \frac{3}{5} = \frac{2}{5} \]
Thus, we have:
\[ \text{Distance traveled on Day 2} = d \cdot \frac{2}{5} \]

### Step 4: Express the distance traveled on the second day as a fraction of the total distance.
Since we have found that the distance traveled on the second day is \( \frac{2}{5}d \), we can express this as a fraction of the total distance \( d \):
\[ \text{Part of the distance traveled on Day 2} = \frac{2}{5} \]

### Final Answer:
Therefore, the part of the distance A travels on the second day is:
\[ \frac{2}{5} \]

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