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The distance between two towns P and Q is 300 km. A bus started at P at 10.30 am and travelled towards town Q at 80 km/h. After 45 minutes a car started at Q and travelled to town P at x km/h. The car met the bus after 1hour 20 minutes.
a) Determine the value of x. (3 marks) b) Find the distance from P where the car met the bus. (2 marks) c) At what time did the car meet the bus? (2 marks) d) If t a shuttle started at P, 1hour after the car left Q for P. Calculate the speed to the nearest km/h at which the shuttle should be driven in order to arrive at Q at the same time with the bus. (3 marks) 
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.
answer
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.
answer
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.
answer
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)
Answer
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.
answer
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.
answer
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 distance-time graph to represent Musa's journey.
answer
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
answers
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.
answers
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.
answer
Form 4 Mathematics
The graph below shows the relationship between distance s metres and time t seconds in the interval 0 ≤ t ≤ 6.
(a) the average rate of change of distance between t =3 seconds and t =6 seconds;
(b) the gradient at t = 3 seconds.
answers
Form 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.
answer
Form 1 Mathematics
Three bells ring at intervals of 9 minutes, 15 minutes and 21 minutes. The bells will next ring together at 11.00 pm. Find the time the bells had last rang together.
answer
Form 2 Mathematics
Makau made a journey of 700 km partly by train and partly by bus. He started his journey at 8.00 a.m. by train which travelled at 50 km/h. After alighting from the
train, he took a lunch break of 30 minutes. He then continued his journey by bus which travelled at 75 km/h. The whole journey took 11 1/2 hours. (a) Determine: (i) the distance travelled by bus; (ii) the time Makau started travelling by bus. (b) The bus developed a puncture after travelling 187 1/2 km. It took 15 minutes to replace the wheel. Find the time taken to complete the remaining part of the journey
answers
Form 2 Mathematics
A motorist took 2 hours to travel from one town to another town and 1 hour 40 minutes to travel back. Calculate the percentage change in the speed of the motorist.
answer
Form 2 Mathematics
In a uniformly accelerated motion the distance, s metres, travelled in time t seconds varies partly as the time and partly as the square of the time. When the time is 2 seconds, the distance travelled is 80 metres and when the time is 3 seconds, the distance travelled is 135 metres.
(a) Express s in terms of t. (b) Find: (i) the distance travelled in 5 seconds; (ii) the time taken to travel a distance of 560 metres.
answers
Form 2 Mathematics
Motorbike A travels at 10 km/h faster than motorbike B whose speed is x km/h.Motorbike A takes 1 1/2 hours less than motorbike B to cover a 180 km journey.
(a) Write an expression in terms of x for the time taken to cover the 180 km journey by: (i) motorbike A; (ii) motorbike B. (b) Use the expressions in (a) above to determine the speed, in km/h, of motorbike A. (c) For a journey of 48 km, motorbike B starts 10 minutes ahead of motorbike A. Calculate, in minutes, the difference in the time of their arrival at the destination.
answers
Form 2 Mathematics
A bus left a petrol station at 9.20 a.m. and travelled at an average speed of 75 km/h to a town N. At 9.40 a.m. a taxi, travelling at an average speed of 95 km/h, left the same
petrol station and followed the route of the bus. Determine the distance, from the petrol station, covered by the taxi at the time it caught up with the bus.
answer
Form 3 Mathematics
The diagram below shows the speed-time graph for a train traveling between two stations. The train starts from rest and accelerates uniformly for 150 seconds. It then travels at a constant speed for 300 seconds and finally decelerates uniformly for 200 seconds.
Given that the distance between the two stations is 10 450 m, calculate the:
a) Maximum speed, in Km/h, the train attained; b) Acceleration, c) Distance the train traveled during the last 100 seconds; d) Time the train takes to travel the first half of the journey.
answers
Form 1 Mathematics
A watch which loses a half-minute every hour was set to read the correct time at 05 45 h on Monday. Determine the time in the 12- hour system, the watch will show on the following Friday at 19 45h
ANSWER
Form 2 Mathematics
A bus traveling at an average speed of 63 km/h left a station at 8.15 a.m. find the average speed of the car.
answer
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