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Three friends – Abhik, Vaibhav and Pravesh – decided to travel from Pune to Mumbai on their two wheelers. The following graph shows the speed (in kmph, on the y-axis) with which each of them moved during different phases of distances (in km). Every Phase has been covered by each person at constant acceleration. Acceleration is the rate of change of velocity.

• x-xi = (v+vi)t /2

• v-vi= at

• x-xi = vi t + at2 /2

• v2 – vi2= 2a(x- xi)

Where xi, is the initial position of the train, x is the final position of the train, vi is the initial velocity, v is the final velocity at position x, t is the time and a is the acceleration.

What is the distance that Abhik covered in 45 minutes?

Options :-

1. 12 Km

2. 20 Km

3. 18 Km

4. 22 Km

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