Amir ran the first 200-meter leg of the relay race with a speed of 8,260 millimeters per second. Ryder ran the last 200-meter leg with an average speed of 930 centimeters per second. Who ran the race faster, and how much faster was that person’s speed to the nearest meter per second?

Question

Amir ran approximately 1 meter per second faster than Ryder.
Ryder ran approximately 1 meter per second faster than Amir.
Amir ran approximately 104 meters per second faster than Ryder.
Ryder ran approximately 104 meters per second faster than Amir.

Answer 1

To determine who ran the race faster and by how much, we need to convert their speeds to a common unit (meters per second) and then compare them.

1. Amir's speed:

   • Amir's speed is given as 8,260 millimeters per second.
   • We convert this to meters per second: \[ 1 \text{ meter} = 1000 \text{ millimeters} \] \[ \text{Amir's speed in m/s} = \frac{8,260 \text{ mm/s}}{1000} = 8.26 \text{ m/s} \]

2. Ryder's speed:

   • Ryder's speed is given as 930 centimeters per second.
   • We convert this to meters per second: \[ 1 \text{ meter} = 100 \text{ centimeters} \] \[ \text{Ryder's speed in m/s} = \frac{930 \text{ cm/s}}{100} = 9.30 \text{ m/s} \]

Now, we compare Amir's and Ryder's speeds:

• Amir: 8.26 m/s
• Ryder: 9.30 m/s

3. Difference in speed: \[ \text{Difference} = 9.30 \text{ m/s} - 8.26 \text{ m/s} = 1.04 \text{ m/s} \]

Thus, Ryder ran faster than Amir by approximately 1 meter per second.

The correct answer is: Ryder ran approximately 1 meter per second faster than Amir.