A farmer has two tractors A and B the two tractors working together can plough

# A farmer has two tractors a and b the two tractors

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21) A farmer has two tractors A and B. the two tractors, working together can plough a farm in 2½ hours. One day, the tractors started to plough the farm together. After 1 hr 10 min, tractor B broke down but A continued alone and completed the job after a further 4 hours.Find: a)The fraction of the job done by the tractors, working together for one hour.(2 marks)b)The fraction of the job done by tractor A after B broke down.(4 marks)c)The time each tractor working alone would have taken to plough the farm.(4 marks) 12

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22) Using a ruler and a pair of compasses only. 13
23) A solid is made of a conical frustum and a hemisphere on top as shown in the figure. The dimensions are as below:r = 3.5cm8cmr=4.2cm ii) The curved surface of the frustum. (3 marks) iii) The hemispherical surface. (2 marks) 14

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24) A triangular plot ABC is such that the length of side AB is two thirds that of BC. The ratio of lengths AB : AC = 4 : 9 and the angle at B is obtuse. If the perimeter of the plot is 38m. calculate: 15
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