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Y-axis ----distance (in Km)

X-axis ----- time (in hours)

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Explanation:

To draw graphs between distance and time for the given scenario, we can create separate graphs for each mode of transportation (auto rickshaw and tanga). Let's start by plotting the points on the graphs and then connecting them to create the graphs.

1. **Auto Rickshaw:**

- Distance: 5 km

- Time taken: 1 hour

- Speed = Distance / Time = 5 km / 1 hr = 5 km/hr

2. **Tanga:**

- Distance: 5 km

- Time taken: 2 hours

- Speed = Distance / Time = 5 km / 2 hr = 2.5 km/hr

Let's plot these points on the graphs:

**Auto Rickshaw Graph:**

- X-axis: Time (hours)

- Y-axis: Distance (kilometers)

| Time (hr) | Distance (km) |

|-----------|---------------|

| 10:30 am | 0 |

| 11:30 am | 5 |

**Tanga Graph:**

- X-axis: Time (hours)

- Y-axis: Distance (kilometers)

| Time (hr) | Distance (km) |

|-----------|---------------|

| 11:30 am | 0 |

| 01:30 pm | 5 |

Please note that in both graphs, the time is taken on the x-axis, and the distance covered is on the y-axis.

Now, let's connect the points on each graph to form the graphs for both modes of transportation. The auto rickshaw graph will be a straight line with a slope of 5 km/hr, and the tanga graph will also be a straight line with a slope of 2.5 km/hr.

At 01:30 pm, the woman reaches the office. Since she works at the office at 5 pm, there's a gap of 3.5 hours. We can extend the graphs to show the time when she reaches the office.

Remember to label the axes and provide appropriate titles for each graph. This will help you visualize the woman's journey from home to the office using the auto rickshaw and tanga.