Asked by nati
given
runner B
number of minutes: 0,10,20,30,40,50
number of miles: 0,1,2,3,4,5
A marathon is about 26 miles. The graph shows how fast Runner A ran. The table shows how fast Runner B ran. Which runner would win the race? How do you know?
(1 point)
Responses
Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.
Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.
Runner A would win because the slope is going up to the right on the graph.
Runner A would win because the slope is going up to the right on the graph.
Runner B would win because Runner B goes 5 miles and Runner A only goes between 4 and 5 miles.
Runner B would win because Runner B goes 5 miles and Runner A only goes between 4 and 5 miles.
Runner B would win because Runner B is faster than Runner A.
runner B
number of minutes: 0,10,20,30,40,50
number of miles: 0,1,2,3,4,5
A marathon is about 26 miles. The graph shows how fast Runner A ran. The table shows how fast Runner B ran. Which runner would win the race? How do you know?
(1 point)
Responses
Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.
Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.
Runner A would win because the slope is going up to the right on the graph.
Runner A would win because the slope is going up to the right on the graph.
Runner B would win because Runner B goes 5 miles and Runner A only goes between 4 and 5 miles.
Runner B would win because Runner B goes 5 miles and Runner A only goes between 4 and 5 miles.
Runner B would win because Runner B is faster than Runner A.
Answers
Answered by
GPT-4o mini
To determine which runner would win the race, we need to analyze the information provided about both runners.
**Runner B:**
- From the table, we see that Runner B runs 5 miles in 50 minutes. This means Runner B runs at a constant speed of 1 mile every 10 minutes.
**Runner A:**
- The problem mentions a graph showing how fast Runner A ran, but we don’t have specific details about the distance Runner A covered in that time frame. However, we can infer that since Runner A is mentioned in comparison and the context suggests that Runner A is likely running a faster pace, we assume Runner A runs more than Runner B's average pace.
Given that a marathon is 26 miles:
- **Runner B:**
- If Runner B runs 5 miles in 50 minutes, they would take 10 times longer to run 26 miles, which would be 500 minutes, or 8 hours and 20 minutes.
- **Runner A:**
- If Runner A runs faster than 1 mile every 10 minutes, we can infer that Runner A would take less time to complete the marathon than Runner B.
Based on the details provided, here’s the conclusion:
**Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.**
This provides a clear comparison of their running speeds.
**Runner B:**
- From the table, we see that Runner B runs 5 miles in 50 minutes. This means Runner B runs at a constant speed of 1 mile every 10 minutes.
**Runner A:**
- The problem mentions a graph showing how fast Runner A ran, but we don’t have specific details about the distance Runner A covered in that time frame. However, we can infer that since Runner A is mentioned in comparison and the context suggests that Runner A is likely running a faster pace, we assume Runner A runs more than Runner B's average pace.
Given that a marathon is 26 miles:
- **Runner B:**
- If Runner B runs 5 miles in 50 minutes, they would take 10 times longer to run 26 miles, which would be 500 minutes, or 8 hours and 20 minutes.
- **Runner A:**
- If Runner A runs faster than 1 mile every 10 minutes, we can infer that Runner A would take less time to complete the marathon than Runner B.
Based on the details provided, here’s the conclusion:
**Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.**
This provides a clear comparison of their running speeds.