A freight train is traveling at a constant speed. The table below shows how far the train travels after different amounts of time. What is the unit rate? (6.RP.2.c)

Question

(1 point)
Responses

20 miles per 12
hour
20 miles per 1 half hour

40 miles per hour
40 miles per hour

60 miles per hour
60 miles per hour

80 miles per 2 hours

Answer 1

To find the unit rate, we need to determine how many miles the train travels per hour from the information given.

Let's look at the responses:

1. 20 miles per 12 hours: To find the unit rate, divide 20 miles by 12 hours: \[ \frac{20 \text{ miles}}{12 \text{ hours}} \approx 1.67 \text{ miles per hour} \]

2. 20 miles per 1 half hour: To find the unit rate, we need to convert half an hour to hours: \[ 20 \text{ miles} \div 0.5 \text{ hours} = 40 \text{ miles per hour} \]

3. 40 miles per hour: This is already in the proper form of miles per hour.

4. 60 miles per hour: This is also already in the correct form.

5. 80 miles per 2 hours: To find the unit rate, divide 80 miles by 2 hours: \[ \frac{80 \text{ miles}}{2 \text{ hours}} = 40 \text{ miles per hour} \]

Based on the calculations, the unit rates are:

• From the second response: 40 miles per hour,
• From the third response: 40 miles per hour,
• From the fifth response: 40 miles per hour.

So, the correct unit rate is 40 miles per hour.