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

Question

If Iesha traveled at an average speed of 38 miles per hour for 18 hours, she traveled 684 miles.
If Jason traveled at an average speed of 46 miles per hour for 16 hours, he traveled 736 miles.
If Charmaine traveled at an average speed of 54 miles per hour for 14 hours, she traveled 766 miles.
If Raphael traveled at an average speed of 68 miles per hour for 12 hours, he traveled 816 miles.

Answer 1

To determine which statement contains an error, we can calculate the distance traveled for each student using the formula:

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

Now let's calculate each student's distance:

1. Iesha:

   • Speed = 38 miles per hour
   • Time = 18 hours
   • Distance = \(38 \times 18 = 684\) miles
   • Correct.

2. Jason:

   • Speed = 46 miles per hour
   • Time = 16 hours
   • Distance = \(46 \times 16 = 736\) miles
   • Correct.

3. Charmaine:

   • Speed = 54 miles per hour
   • Time = 14 hours
   • Distance = \(54 \times 14 = 756\) miles
   • Incorrect. (The statement says 766 miles, but the correct distance is 756 miles.)

4. Raphael:

   • Speed = 68 miles per hour
   • Time = 12 hours
   • Distance = \(68 \times 12 = 816\) miles
   • Correct.

The statement that contains an error is the one about Charmaine, where she was said to have traveled 766 miles instead of the correct 756 miles.