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Question

Difficulty: EasyCalculating Distance

A military supply convoy travels at a steady speed of 40 miles per hour40\text{ miles per hour} for 2 hours2\text{ hours}. Then, it travels at a steady speed of 50 miles per hour50\text{ miles per hour} for 1 hour1\text{ hour}. What is the total distance traveled by the convoy? Provide your answer including the unit (e.g., '130 miles').

Answer: 130 miles / 130 mi / 130

Answer

130 miles
To find the total distance, you must calculate the distance for each segment separately using the formula Distance = Rate × Time, and then add them together. The first segment covers 80 miles (40 mph × 2 hours) and the second segment covers 50 miles (50 mph × 1 hour), resulting in a total distance of 130 miles.

Step-by-Step Solution

1
Calculate the distance for the first part of the trip.
40×2=80 miles40 \times 2 = 80\text{ miles}
Distance is equal to rate multiplied by time.
2
Calculate the distance for the second part of the trip.
50×1=50 miles50 \times 1 = 50\text{ miles}
Apply the distance formula to the second segment.
3
Add the distances from both parts of the trip to find the total distance.
80+50=130 miles80 + 50 = 130\text{ miles}
The total distance is the sum of the individual segment distances.

Key Concept

Calculating total distance for a multi-segment journey by applying the formula Distance = Rate × Time to each segment.
Estimated Time:45s
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Topics

Calculating Distance

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