**Introduction**

To calculate the time it takes for an aircraft to reach the sound barrier, we need to understand the concept of acceleration and how it relates to the speed of sound. The speed of sound varies depending on various factors such as temperature, altitude, and humidity. At sea level and a standard temperature of 20°C, the speed of sound is approximately 343 meters per second or 1235 kilometers per hour.

**Given Information**

- Initial speed of the aircraft: 600 km/hr
- Acceleration of the aircraft: 1100 km/hr

**Calculating the Time to Reach the Sound Barrier**

To calculate the time it takes for the aircraft to reach the sound barrier, we can use the formula:

Time = (Final Speed - Initial Speed) / Acceleration

In this case, the final speed we are trying to reach is the speed of sound, which is 1235 km/hr. The initial speed is given as 600 km/hr, and the acceleration is given as 1100 km/hr.

**Substituting Values into the Formula**

Time = (1235 km/hr - 600 km/hr) / 1100 km/hr

**Simplifying the Equation**

Time = 635 km/hr / 1100 km/hr

Time = 0.5773 hours

**Converting Hours to Minutes**

To convert the time from hours to minutes, we know that there are 60 minutes in an hour. Therefore, we can multiply the time in hours by 60.

Time (in minutes) = 0.5773 hours * 60 minutes/hour

Time = 34.64 minutes

**Conclusion**

It will take approximately 34.64 minutes for the aircraft to reach the sound barrier. This calculation assumes that the acceleration remains constant throughout the process. However, in reality, the acceleration may vary depending on factors such as air resistance and engine power. Additionally, it is important to note that the speed of sound can vary depending on altitude, temperature, and other factors. Therefore, the time calculated here is an approximation based on the given information.