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Question

Difficulty: EasyCalculating Distance

A military supply truck travels at a steady rate of 40 mph40\text{ mph} for exactly 4545 minutes along a designated supply route. What is the total distance traveled?

  1. 30 miles30\text{ miles}Answer
  2. B
    18 miles18\text{ miles}
  3. C
    300 miles300\text{ miles}
  4. D
    1800 miles1800\text{ miles}

Answer

30 miles30\text{ miles}
To find the correct distance, the time must first be converted to match the units of the rate. Dividing 45 minutes45\text{ minutes} by 6060 gives 0.75 hours0.75\text{ hours}. Multiplying the rate (40 mph40\text{ mph}) by the time (0.75 hours0.75\text{ hours}) gives exactly 30 miles30\text{ miles}.

Step-by-Step Solution

1
Convert the travel time from minutes to hours.
45 minutes=4560 hours=0.75 hours45\text{ minutes} = \frac{45}{60}\text{ hours} = 0.75\text{ hours}
The speed is given in miles per hour (mph), so the time must be in hours to cancel out the units properly.
2
Calculate the total distance using the formula: Distance = Rate ×\times Time.
Distance =40 mph×0.75 hours=30 miles= 40\text{ mph} \times 0.75\text{ hours} = 30\text{ miles}
Multiplying the steady rate by the total time in hours yields the total distance.

Key Concept

Calculating Distance with Unit Conversion
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Topics

Calculating Distance

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