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Two towns, Meru and Maua are 80km a part, Kimathi started cycling from Meru to Maua at 10:00 a.m at an average speed of 40km/h....

Two towns, Meru and Maua are 80km a part, Kimathi started cycling from Meru to Maua at 10:00 a.m at an average speed of 40km/h. Mutuma started his journey from Maua to Meru at 10:30 a.m and travelled by car at an average speed of 60km/h.
(a) Calculate:
i) The time taken by Kimathi and Mutuma to meet.
ii) The distance from Meru when Kimathi and Mutuma met.
iii) The time of the day when the two met.
(b) Murianki 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 40 km away. The motorbike travelled at 75km/h. On the grid provided, draw a distance time graph to represent Murianki’s journey.

Answers

a) i) Distance travelled by kimathi in 1/2h=
40 x ½ = 20km
Relatively speed = 40+60 =100km/h
Time taken to meet= 60/100 = 3/5h.
ii) distance from Meru = 20 +3/5 x 40
= 20 +24 = 44km.
iii) 10h 30min
36min
11h: 06 min
b) time = 40/75 x 60

Kavungya answered the question on November 18, 2019 at 12:43

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