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Boojho goes to the football ground to play football. The distance-time graph of his journey from his home to the ground is given as a figure. What is his speed between $8 and 12 minutes$ of his journey?

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18.75 m / \min

19.75 m / \min

20.75 m / \min

None

answer is A.

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Detailed Solution

The speed between

8 and 12 minutes

of his journey is

18.75 m / \min .

The curve between 8 and 12min is a straight line curve. We know that, the rate of change of distance is the speed. The distance covered between

8 and 12 \min

\Rightarrow 225 - 150 = 75 m .

The time between

8 and 12 \min

\Rightarrow 12 - 8 = 4 \min

.
We know

Speed = \frac{distance}{time}

= \frac{75}{4}

= 18.75 m / \min .

Thus, the speed is 18.75 m/min.

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