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. (a) What is the scale taken for the time axis? (b) How much time did the person take for the travel? (c) How far is the place of the merchant from the town? (d) Did the person stop on his way? Explain. (e) During which period did he ride fastest?

Answer 1

Step-1 Scale taken for the time axis:

From the graph we observe that $4\mathrm{units}=1\mathrm{hour}$.

Step-2 :Time taken by the person

The person starts his journey at $8a.m.$ and ends his journey at $11:30a.m.$, So the total time taken by the courier person is the difference in the time i.e. $3hour30minutes$.

Step-3 Distance of merchant from the town:

From the graph we observe that the merchant is $22km$ away from the town.

Step-4 Stop in way:

Yes, this has been indicated by the horizontal part of the graph. He stayed from $10a.m.to10.30a.m.$

Step-5 Faster speed:

As the graph is distance-time graph, so we can say that where the slope is maximum at that place the person has the maximum speed. It is clearly seen from the graph that between $8a.m.to9a.m.$ the person rides the fastest.

Hence,

Scale taken for the time axis is hour

Time taken by the person is $3hour30minutes$

Distance of merchant from the town is $22km$

Stop in way is $10a.m.to10.30a.m.$

Faster speed $8a.m.to9a.m.$