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O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2010 · Q225 Marks

A walker leaves his house at 10 00 and walks towards a shopping centre at a constant speed of 5 km/h. A cyclist leaves the same house 10 minutes later. He travels along the same road at a constant speed of 20 km/h until he reaches the shopping centre which is 6 km from the house. The cyclist stops at the shopping centre for 14 minutes. He then returns to the house along the same road at a constant speed of 20 km/h. [Distance-time graph on page 18]

  1. (a)The distance-time graph for the walker is drawn below. On the same axes, draw the distance-time graph for the cyclist.[3]
  2. (b)(i)Using the graphs, find the time when the cyclist, on his return journey, meets the walker,[1]
  3. (b)(ii)the distance from the house when this meeting takes place.[1]

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, May/June 2010 Paper 1 Variant 1, question 22.

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