A student wrote four statements during math class. Which statement contains an error?

If Josh traveled 198 miles at an average speed of 33 miles per hour, he was traveling for exactly 6 hours.
If Rhonda traveled 273 miles at an average speed of 39 miles per hour, she was traveling for exactly 7 hours.
If Will traveled 376 miles at an average speed of 47 miles per hour, he was traveling for exactly 8 hours.
If Yolanda traveled 487 miles at an average speed of 53 miles per hour, she was traveling for exactly 9 hours

1 answer

To determine which statement contains an error, we can check each one by using the formula for time traveled, which is:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

  1. Josh's Statement:

    • Distance = 198 miles, Speed = 33 miles/hour
    • Time = \( \frac{198}{33} = 6 \) hours (Correct)
  2. Rhonda's Statement:

    • Distance = 273 miles, Speed = 39 miles/hour
    • Time = \( \frac{273}{39} = 7 \) hours (Correct)
  3. Will's Statement:

    • Distance = 376 miles, Speed = 47 miles/hour
    • Time = \( \frac{376}{47} = 8 \) hours (Correct)
  4. Yolanda's Statement:

    • Distance = 487 miles, Speed = 53 miles/hour
    • Time = \( \frac{487}{53} = 9.18 \) hours (approximately)
    • This does not equal exactly 9 hours (Incorrect)

Therefore, the statement that contains an error is Yolanda's statement.