Question

the table shows the distance that two trains are from center station at various times of the day.

how do the speeds of the trains compare?

train 1 is traveling 1 mile per hour faster than train 2.
train 1 is traveling 6 miles per hour faster than train 2.
train 2 is traveling 4 miles per hour faster than train 1.
train 2 is traveling 5 miles per hour faster than train 1.

Explanation:

Calculate elapsed times

Using the Rate of Change knowledge point

$$
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$$

Calculate Train 1 speed

Using the Rate of Change knowledge point

$$
LATEXBLOCK1
$$

Calculate Train 2 speed

Using the Rate of Change knowledge point

$$
LATEXBLOCK2
$$

Compare the speeds

We compare the constant speeds of both trains:

• Train 1 speed: \(36\text{ mph}\)
• Train 2 speed: \(40\text{ mph}\)

Difference:

$$ 40 - 36 = 4\text{ mph} $$

Thus, Train 2 is traveling 4 miles per hour faster than Train 1.

Answer:

• Train 1 is traveling 1 mile per hour faster than train 2.
• Train 1 is traveling 6 miles per hour faster than train 2.
• Train 2 is traveling 4 miles per hour faster than train 1. (Correct answer)
• Train 2 is traveling 5 miles per hour faster than train 1.