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A man started his journey on his car from location A and came back. The given graph shows his position at different times during the whole journey. (a) At what time did he start and end his - Mathematics

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Question

A man started his journey on his car from location A and came back. The given graph shows his position at different times during the whole journey.

  1. At what time did he start and end his journey?
  2. What was the total duration of journey?
  3. Which journey, forward or return, was of longer duration?
  4. For how many hours did he not move?
  5. At what time did he have the fastest speed?

Graph

Solution

Analysing the graph carefully, we observe that

  1. He started his journey at 5:30 AM and end at 6 PM.
  2. Total duration of journey was 12:30 h.
  3. His forward journey is of duration 8:30 h and return journey is of duration 4 h. Forward journey was of longer duration.
  4. He did not move from 6:30 AM to 9:30 AM and 10 AM to 1 PM. So, he did not move for 6 h.
  5. He have the fastest speed at 1 PM.
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Chapter 12: Introduct To Graphs - Exercise [Page 390]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 12 Introduct To Graphs
Exercise | Q 70. | Page 390

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