Answer and Step-by-step explanation:
To find the time it will take for the two buses to be 65 kilometers apart, we need to consider their combined speed and the distance they need to travel.
Let's break it down step by step:
1. Calculate the relative speed of the two buses.
- Since one bus is moving north at 41 kilometers per hour and the other is moving south at 27 kilometers per hour, we need to find their combined speed.
- The relative speed is the sum of their individual speeds: 41 km/h + 27 km/h = 68 km/h.
2. Determine the time it will take for the buses to be 65 kilometers apart.
- To find the time, we use the formula: Time = Distance / Speed.
- The distance between the buses is 65 kilometers.
- The relative speed of the buses is 68 kilometers per hour.
- Plugging in the values, we get: Time = 65 km / 68 km/h.
3. Simplify the expression.
- Dividing 65 by 68, we find that the time it will take for the buses to be 65 kilometers apart is approximately 0.956 hours.
So, it will take approximately 0.956 hours, or about 57.36 minutes, for the buses to be 65 kilometers apart.