QQuestionMathematics
QuestionMathematics
Hicham El Guerrouj of Morocco holds the world record in the 1500 m running race. He ran the final 400 m in a time of 51.9 s.
What was his average speed in mph over the last 400 m?
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:Let's solve this step by step:
Step 2:: Convert the given information to standard units
- Distance = 400 m - Time = 51.9 s
Step 3:: Calculate the average speed in meters per second
v = \frac{distance}{time} = \frac{400 \text{ m}}{51.9 \text{ s}} = 7.706 \text{ m/s}
Step 4:: Convert meters per second to miles per hour
7.706 \text{ m/s} \times \frac{3600 \text{ s}}{1 \text{ hr}} \times \frac{1 \text{ mile}}{1609.344 \text{ m}} = 17.22 \text{ mph}
- First, convert meters to miles: - Convert speed:
Step 5:: Round to appropriate significant figures
17.2 \text{ mph}
Final Answer
Hicham El Guerrouj's average speed over the last 400 m was 17.2 mph.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students