Question

${\sf{\fcolorbox{green}{orange}{\underline{Question :}}}}$
A, B, C are travelling and are given on distance - time graphs. Look the graph given in attachment and answer the following questions :

(a.) Which of 3 is traveling the fastest?
(b.) Are all three ever 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.


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Answer 1

(a.) Which of 3 is traveling the fastest?

Ans - Object B is travelling the fastest because it has the maximum slope .

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

Ans - No , they all three never met at the same point on the road .

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

Ans -

Between 0 to 4 km ( on y axis ) 7 graph units are there . So , 1 graph unit = 4/7 km

the starting point of C is 4 graph units away from origin .

So , initial distance of object from origin

${\sf{:\implies 4 \times \dfrac{4}{7} }}$

${\sf{:\implies 4 \times \dfrac{16}{7} \; km }}$

• Initial distance from C = 16/7 km
• Final distance covered by C = 8 km

Distance travelled by C when B passes A =

${\sf{:\implies \dfrac{16}{7}-8 }}$

${\sf{:\implies \dfrac{56-16}{7} }}$

${\sf{:\implies \dfrac{40}{7} }}$

${\sf{:\implies \bold{5.71 km} }}$

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

Ans -

Distance covered by B when it passes C = 9 graph unit from origin

${\sf{:\implies 9 \times \dfrac{4}{7} }}$

${\sf{:\implies \bold{5.14 km} }}$

Answer 2

This question should be of 40 pts !!

a) object b

b) No

c) 5.71 km

d) 5.14 km