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9966 [12]
3 years ago
8

Suppose a horse is galloping at 19 mph toward a clown, and the clown is racing toward the horse on an ATV which can sustain a sp

eed of 15mph. They are 50 miles apart from one another and start at the exact same moment in time. How much time will it take for the horse and clown to collide?
Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0

Answer:

It will take 1.47 hours for the horse and clown to collide

Step-by-step explanation:

They are driving toward each other, in opposite directions.

So to find their speed of approximation, we add their speeds.

19 mph + 15 mph = 34 mph.

This means that each hour, they are 34 miles closer.

How long it takes for them to find each other if they are 50 miles apart?

1 hour - 34 miles

x hours - 50 miles

34x = 50

x = \frac{50}{34}

x = 1.47

It will take 1.47 hours for the horse and clown to collide

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Answer:

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We don't know the shape of the distribution, so we use Chebyshev's Theorem to solve this question. It states that:

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8/9 is approximately 89%

So

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So the correct answer is:

a) 54 mph to 144 mph

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