The distance between Busia to Nairobi is 360 km.A bus left Busia at 7:30 am and traveled towards Nairobi at

an average speed of 90km/h. A Nissan left Nairobi at 9:30 am on the same day and traveled towards Busia at
an average speed of 120km/h.
Calculate.
a) How far from Busia they met to the nearest whole number.
b) The time they met.
c) A motorist started from Kisumu at 9:25am on the same day and traveled at an average speed of
110km/h. He arrival at Nairobi at the same time with the bus. Calculate the distance from Nairobi to
Kisumu.

1 answer

a) To find out where they met, we need to calculate the total distance traveled by both vehicles before they met.

The bus left Busia at 7:30 am and traveled for 2 hours and 30 minutes (9:30 am) before they met.
Distance traveled by the bus = speed * time = 90 km/h * 2.5 hours = 225 km

The Nissan left Nairobi at 9:30 am and traveled for 0 hours before they met.
Distance traveled by the Nissan = speed * time = 120 km/h * 0 hours = 0 km.

Total distance traveled before they met = 225 km + 0 km = 225 km.

Therefore, they met 225 km from Busia.

b) The bus left at 7:30 am and traveled for 2 hours and 30 minutes before they met.
So, the time they met = 7:30 am + 2 hours and 30 minutes = 10:00 am.

c) The motorist arrived at Nairobi at the same time as the bus, which was 10:00 am.
The motorist started from Kisumu at 9:25 am, so the traveling time from Kisumu to Nairobi is 45 minutes.
The average speed of the motorist is 110 km/h, so the distance from Kisumu to Nairobi is:
Distance = speed * time = 110 km/h * (45/60) hours = 82.5 km.

Therefore, the distance from Kisumu to Nairobi is 82.5 km.