139k views
3 votes
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?

User Sttwister
by
7.9k points

1 Answer

4 votes

Final answer:

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.

User Michael Herold
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories