Final answer:
The distance from Busia they met is 160 km.
The time they met is 9:30 am.
The distance from Kisumu to Busia is 125 km.
Step-by-step explanation:
To calculate the distance from Busia they met, we need to find the total time each vehicle traveled before they met.
The bus left Busia at 7:30 am and the Nissan left Nairobi at 9:30 am, so the bus traveled for 2 hours and the Nissan traveled for 0.5 hours.
Now, we can calculate the distance using the formula Distance = Speed * Time.
For the bus: Distance = 80 km/h * 2 hours
= 160 km.
For the Nissan: Distance = 100 km/h * 0.5 hours
= 50 km.
Therefore, they met 160 km from Busia.
To calculate the time they met, we need to find the time it took the bus to reach the meeting point.
The bus traveled for 2 hours, so the time they met is 7:30 am + 2 hours
= 9:30 am.
To calculate the distance from Kisumu to Busia, we can use the fact that the motorist arrived at Busia at the same time as the Nissan.
From the previous calculations, we know that the Nissan traveled 50 km.
The motorist traveled for the same amount of time as the Nissan, which is 0.5 hours.
Therefore, the distance from Kisumu to Busia is 75 km + 50 km
= 125 km.