Distance Calculation for Ajay's Journey

Let's delve into the journey of Ajay and explore how he can cover a certain distance over different durations. Given that Ajay can travel 120 km in 2 hours, we aim to calculate how far he can travel in 4.5 hours, considering various practical constraints like energy and road conditions.

Basic Calculation without Restrictions

If Ajay maintains a constant speed of 60 km/h, which is derived from the given information (120 km / 2 hours), the distance he can cover in 4.5 hours can be calculated as follows:

Distance Speed × Time

Distance 60 km/h × 4.5 hours

This yields a result of:

Distance 270 km

Therefore, in ideal conditions, Ajay can travel 270 km in 4.5 hours.

Practical Considerations and Limitations

In real-world scenarios, factors such as energy capacity and the condition of the vehicle can significantly impact the distance covered. For instance, if the car's energy capacity is limited, or it requires frequent repairs or adjustments, the actual distance Ajay can travel may be less than 270 km.

Consider the following example: if the car can travel no more than 260 km in a single trip due to insufficient energy, or there might be a need for repairs every 150 km. This would reduce the effective distance Ajay can travel in 4.5 hours.

Additionally, variable speed limits can also affect the journey. As mentioned, on the way to Coomera, the highway speed limit changes from 100 km/h to 110 km/h depending on the halfway point. Furthermore, the presence of roadworks and speed cameras can force adjustments in speed, with potential decreases like slowing down to 80 or 60 km/h for certain stretches.

Unexpected Situations

Other practical considerations include unexpected traffic congestion and personal reasons. For example, if there's an accident on the road, it might cause traffic jams leading to lower speeds. Or, in a real-life scenario, if the driver realizes after two hours they forgot something important, they might have to retrace their steps, resulting in a zero km travel during that time.

For electric cars, the situation can vary further. After traveling 130 km, the car might have insufficient power to sustain another 2 hours of driving at the same speed. Conversely, if the car isn't started, it remains stationary, regardless of the time passed.

Conclusion

In conclusion, while the theoretical calculation shows Ajay can travel 270 km in 4.5 hours under ideal conditions, practical factors like energy constraints, road conditions, and unexpected situations can significantly influence the actual distance covered. Understanding these factors is crucial for accurate distance calculations in real-world scenarios.