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Question

Difficulty: EasyUnit Conversions

A toy train moves along a track at a constant rate of 1515 feet per second. What is the train's speed, in yards per second? (Given that 1 yard=3 feet1\text{ yard} = 3\text{ feet})

  1. 5Answer
  2. B
    12
  3. C
    18
  4. D
    45

Answer

5
The correct answer is 5. To convert the speed from feet per second to yards per second, divide the rate of 1515 feet per second by the conversion factor of 33 feet per yard. This yields 55 yards per second.

Step-by-Step Solution

1
Identify the given rate and the conversion factor.
The given rate is 15 feet per second15\text{ feet per second}, and the conversion factor is 1 yard=3 feet1\text{ yard} = 3\text{ feet}.
This establishes the relationship between the current unit (feet) and the target unit (yards).
2
Convert the speed by dividing by the conversion factor.
15 feet1 second×1 yard3 feet=5 yards per second\frac{15\text{ feet}}{1\text{ second}} \times \frac{1\text{ yard}}{3\text{ feet}} = 5\text{ yards per second}.
Dividing the speed in feet per second by 3 converts the distance unit from feet to yards, resulting in the correct rate of 5 yards per second.

Key Concept

Unit Conversions
Estimated Time:45s
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Topics

Unit Conversions

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