Question:

A courier-person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.
distance from the town at different times is shown by the  graph
  1. What is the scale taken for the time axis? 
  2.  How much time did the person take for the travel? 
  3.  How far is the place of the merchant from the town? 
  4.  Did the person stop on his way? Explain. 
  5.  During which period did he ride fastest?

Updated On: Jan 25, 2024
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Solution and Explanation

(a) Scale taken for the time axis is \(4\) \(units\) = \(1\) \(hour\)


(b) The person travelled during the time \(8\) \(a.m\). - \(11:30 \) \(a.m\).
Therefore, the person took \(3\frac{1}{2}\) \(hours\) to travel.


(c) The merchant is \(22\) \(km\) far from the town.


(d) Yes, the person stopped on his way from \(10\) \(a.m.\) to \(10: 30\) \(a.m.\) 
This is indicated by the horizontal part of the graph.


(e) From the graph, it can be observed that during \(8 \) \(a.m.\) to \(9\) \(a.m.\), the person travelled the maximum distance. 
Thus, the person's ride was the fastest between \(8\) \(a.m.\) and \(9\) \(a.m\)

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