A bus left Nairobi at 7.00 am and traveled towards Eldoret at an average speed of 80Km/hr.22/11/2021 Paper 1, Section B A bus left Nairobi at 7.00 am and traveled towards Eldoret at an average speed of 80Km/hr. At 7.45 a.m a car left Eldoret towards Nairobi at an average speed of 120Km/hr. The distance between Nairobi and Eldoret is 300 km. Calculate:(a) The time the bus arrived at Eldoret. (2mks)(b) The time of the day the two met. (4mks)
(c) The distance of the bus from Eldoret when the car arrived in Nairobi. (2mks)(d) The distance from Nairobi when the two met. (2mks)
The figure below is a velocity time graph for a car.(a) Find the total distance traveled by the car.(b) Calculate the deceleration of the car.
a) Find the total distance traveled by the car (2mks)b) Calculate the deceleration of the car (2mks)Worked Answers:
Form 2 Mathematics
A bus plies between two towns P and R via town Q daily. On each day it departs from P at 8.15 a.m. and stops for 40 minutes at Q before proceeding to R.
On a certain day, the bus took 5 hours 40 minutes to travel from P to Q and 3 hours 15 minutes to travel from Q to R. Find, in 24 hour clock system, the time the bus arrived at R. Form 2 Mathematics
Juma left his home at 8.30a.m. He drove a distance of l40km and arrived at his aunt’s home at 10.15 a.m.
Determine the average speed, in km/h, for Juma’s journey. Form 2 Mathematics
Two towns R and S are 245 km apart. A bus travelling at an average speed of 60 km/h left tow: R for town S at 8.00 a.m. A truck left town S for town R at 9.00 a.m and met with the bus c
11.00a.m. Determine the average speed of the truck. Form 2 MathematicsThe distance between towns M and N is 280 km. A car and a lorry travel from M to N. The average speed of the lorry is 20 km/h less than that of the car. The lorry takes 1 h 10 min more than the car to travel from M and N. (a) If the speed of the lorry is x km/h, find x ( 5 marks) Form 2 Mathematics
Two trains T1 and T2 traveling in the opposite directions, on parallel tracks are just beginning to pass one another. Train T1 is 72 m long and traveling at 108 km/h. T2 is 78 m long and is traveling at 72 km/h.
Form 2 Mathematics
A bus travelling at an average speed of 63 km / h left a station at 8:15 am. A car later left the same station at 9.00 am and caught up with the bus at 10.45 am.
Find the average speed of the car. Form 2 Mathematics
Musa cycled from his home to a school 6km away in 20 minutes. He stopped at the school for 5 minutes before taking a motorbike to a town 40km away.
The motorbike travelled at 75km/h. On the grid provided, draw a distancetime graph to represent Musa's journey. Form 2 Mathematics
The figure below represents a speed time graph for a cheetah which covered 825m in 40 seconds.
(a) State the speed of the cheetah when recording of its motion started
(b) Calculate the maximum speed attained by the cheetah (c) Calculate the acceleration of the cheetah in: (i) The first 10 seconds (ii) The last 20 seconds (d) Calculate the average speed of the cheetah in first 20 seconds Form 2 Mathematics
Two towns, A and B are 80km apart. Juma started cycling from town A to town B at 10.00 am at an average speed of 40 km/h. Mutuku started his journey from
town B to town A at 10.30 am and travelled by car at an average speed of 60 km/h. a) Calculate: i. The distance from town A when Juma and Mutuku met; (5 mks) ii. The time of the day when the two met. (2 mks) b) Kamau started cycling from town A to town B at 10.21 am. He met Mutuku at the same time as Juma did. Determine Kamau’s average speed. Form 2 Mathematics
Chelimo’s clock loses 15 seconds every hour. She sets the correct time on the clock at 0700h on a Monday. Determine the time shown on the clock when the correct
time was 1900h on Wednesday the same week. Form 4 MathematicsForm 1 Mathematics
Koech left home to a shopping centre 12 km away, running at 8 km/h. Fifteen minutes later, Mutua left the same home and cycled to the shopping centre at 20 km/h. Calculate the distance to the shopping centre at which Mutua caught
up with Koech. 
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