Question

Which runner had a head start?

A. A
B. B
C. C
D. None of these

Answer 1

Hint:
We will first analyze the situation for each runner, Here the y-axis is marked by distance, and the x-axis is marked by time. We know that a head start means that the runner must have an advantage over distance, Since the y-axis is associated with distance, Hence we will find the runner whose starting point is at a higher value of the y-axis to get to the final answer.

Complete step by step solution:
We will observe all the runners according to the graph given.

By observing A, we see that
A has the starting value of x-axis as \[x = 0\], Hence it has started at \[t = 0\].
A has the starting value of the y-axis as \[y = 0\], Hence it has started from the starting line itself.

By observing B, we see that
B has the starting value of the x-axis as \[x = 0\], Hence it has started at \[t = 0\].
B has the starting value of the y-axis as \[y = 3\], Hence it has started from 3 units ahead of the starting line.

By observing C, we see that
C has the starting value of x-axis as \[x = 0.5\], Hence it has started running late, that is after 0.5 units of time.
C has the starting value of the y-axis as \[y = 0\], Hence it has started from the starting line itself.

We know that in a headstart the runner is given an advantage over distance. Hence,
From the above observations, we can say that B has an advantage of distance over A and C.

Hence, B is the required answer.

Note:
In the questions related to the graph, we must know what the axes represent to observe and predict the correct results. Also, we must know that in a graph x-axis increases towards the right and the y-axis increases upwards.