Fig 8.11 shows the distance-time graph of three objects A,B and C. Study the graph and answer the following questions:


(a) Which of the three is travelling the fastest?

(b) Are all three ever at the same point on the road?

(c) How far has C travelled when B passes A?

(d) How far has B travelled by the time it passes C?  


(a) Speed = Distance/Time

From the graph, we see that

A travels from 6 to 12 km in 2 hours

B travels from 0 to 12 km in 1.4 hours

C travels from 2 to 12 km in 1.6 hours


Since B travels the most distance in the smallest time,

It is travelling the fastest.


(b) All the three objects A,B and C never meet at a single point.

Thus, all the three were never at the same point on the road.



When B passes A, we have marked it by the blue dot.

Making a straight line from that point.

Where the straight line intersects line marked by A is the distance travelled.

Thus, distance travelled by A is 8 km



When B passes C, we have marked it by the blue dot.

At that point, Distance travelled by B is around 5 km .

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.