Final answer:
The distance from Busia where the bus and Nissan met is 160 km. They met at 11:30 am. The distance from Kisumu to Busia is 30 km.
Step-by-step explanation:
To calculate the distance from Busia where the bus and Nissan met, we need to find the time it took them to meet and multiply it by the average speed of the bus. The time can be calculated by subtracting the departure times of both vehicles. In this case, the bus left at 7:30 am and the Nissan left at 9:30 am. So, the time it took them to meet is 2 hours.
Now, we can calculate the distance using the formula: distance = speed x time. So, the distance from Busia where they met is 80 km/h x 2 hours = 160 km.
To calculate the time they met, we need to consider the time the Nissan traveled. Since the Nissan left at 9:30 am and they met after 2 hours, they must have met at 9:30 am + 2 hours = 11:30 am.
For the next part of the question, to calculate the distance from Kisumu to Busia, we can use the formula: distance = speed x time. The motorist started from Kisumu at 11:06 am and arrived at Busia at the same time as the Nissan, which is 11:30 am. So, the time it took the motorist is from 11:06 am to 11:30 am, which is 24 minutes or 0.4 hours. Therefore, the distance from Kisumu to Busia is 75 km/h x 0.4 hours = 30 km.