A man starts from his home at `8.00` am to his office. He walks with a speed of `2 ms^(-1)` on a road upto his office `3.0 km ` away from his home. He stays in the office upto `4.00 pm` and returns to his home by which moves non-stop with a speed of `10 ms^(-1)`. Calculate
(i) the time taken by man to reach his office and
(ii) time taken by man to reach his home. Also plot `x-t` graph of his motion.

Explanation

To solve the problem step by step, we will calculate the time taken by the man to reach his office and the time taken to return home. We will also plot the x-t graph of his motion.

### Step 1: Calculate the time taken to reach the office
1. **Given Data**:
- Distance to office, \( d = 3 \, \text{km} = 3000 \, \text{m} \)
- Speed while walking, \( v_1 = 2 \, \text{m/s} \)

2. **Using the formula for time**:
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