Question

Mary ran a 5 kilometer race in 45 minutes.Melanie ran the 2 kilometer race in 17 minutes.Which runner ran the faster race? What was that rate per hour?

Answer 1

Mary's speed was 6.67 km/h while Melanie's speed was 7.06 km/h. Comparing these speeds, Melanie ran the faster race.

Step-by-step explanation:

To determine which runner ran the faster race, we need to calculate their speeds in the same units and compare them. Mary’s speed can be calculated as follows:

• Distance: 5 kilometers
• Time: 45 minutes (which is ⅔ hour)

Mary’s speed in kilometers per hour (km/h) is:

Speed = Distance / Time = 5 km / (⅔ h) = 5 km / 0.75 h = 6.67 km/h

Melanie’s speed is calculated in a similar manner:

• Distance: 2 kilometers
• Time: 17 minutes (which is approximately 0.2833 hour)

Melanie’s speed in km/h is:

Speed = Distance / Time = 2 km / 0.2833 h = 7.06 km/h

Melanie ran the faster race as her speed of 7.06 km/h is greater than Mary’s 6.67 km/h.