Question

a commuter train travels 37 kilometers in 29 minutes. what is its speed in kilometers per hour?

the speed is approximately
(round to the nearest tenth as needed.)

Explanation:

Identify the given values and target unit

Using the Speed Calculation knowledge point

• Distance \(d = 37\text{ km}\)
• Time \(t = 29\text{ minutes}\)
• Target unit: kilometers per hour (\(\text{km/h}\))

Convert time from minutes to hours

Using the Unit Conversion and Dimensional Analysis knowledge points

$$ t = 29\text{ min} \times \frac{1\text{ hour}}{60\text{ min}} = \frac{29}{60}\text{ hours} $$

Calculate the speed in kilometers per hour

Using the Speed Calculation knowledge point

$$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{37\text{ km}}{\frac{29}{60}\text{ hours}} = 37 \times \frac{60}{29}\text{ km/h} $$

$$ \text{Speed} = \frac{2220}{29}\text{ km/h} \approx 76.5517\text{ km/h} $$

Round to the nearest tenth

Using the Speed Calculation knowledge point

• The digit in the hundredths place is \(5\), so we round up.
• Rounded value: \(76.6\text{ km/h}\)

Answer:

A commuter train travels 37 kilometers in 29 minutes. What is its speed in kilometers per hour?

The speed is approximately <blank>76.6</blank> km/h.
(Round to the nearest tenth as needed.)