Question
The four girls ran in a relay race as a team. Each girl ran one part of
the race. The team’s total time was 3 115
minutes. What was Cindy’s
time?
2. Find the difference between the fastest girl’s time and the slowest
girl’s time.
3. To break the school’s record, the girls’ time had to be faster than 2 125
minutes. Did the girls break the record? If so, how much faster were
they? If not, how much slower were they?
the race. The team’s total time was 3 115
minutes. What was Cindy’s
time?
2. Find the difference between the fastest girl’s time and the slowest
girl’s time.
3. To break the school’s record, the girls’ time had to be faster than 2 125
minutes. Did the girls break the record? If so, how much faster were
they? If not, how much slower were they?
Answers
GPT-4o mini
To solve the problem, let's first break down the information given and clarify the conditions.
1. **Total Time of the Team**: The total time for the relay race was 3 hours and 15 minutes. This can be converted to minutes:
\[
3 \text{ hours} \times 60 \text{ minutes/hour} + 15 \text{ minutes} = 180 + 15 = 195 \text{ minutes}.
\]
2. **Cindy's Time**: The question states "the total time was 3 115 minutes," but this seems to be a typographical error and should likely be "3 hours and 15 minutes" which we have already calculated. Thus, without more information about each individual's time, we cannot determine Cindy's specific time.
3. **Difference Between Fastest and Slowest Girl's Time**: Without specific times for each girl, this cannot be calculated. We would need the individual times of each runner to answer this.
4. **Breaking the School’s Record**: The record to beat was 2 hours and 5 minutes. This also needs to be converted to minutes:
\[
2 \text{ hours} \times 60 \text{ minutes/hour} + 5 \text{ minutes} = 120 + 5 = 125 \text{ minutes}.
\]
Now, we compare the total time:
- Total time for the girls: **195 minutes**.
- Record time to beat: **125 minutes**.
Next, we analyze whether they broke the record:
\[
195 \text{ minutes} - 125 \text{ minutes} = 70 \text{ minutes}.
\]
Since 195 minutes is greater than 125 minutes, the girls **did not break the record**. They were **70 minutes slower** than the record.
To summarize:
- We cannot determine Cindy’s time with the provided information.
- The difference between the fastest and slowest girl's times cannot be calculated without individual times.
- The girls did not break the record; they were 70 minutes slower.
1. **Total Time of the Team**: The total time for the relay race was 3 hours and 15 minutes. This can be converted to minutes:
\[
3 \text{ hours} \times 60 \text{ minutes/hour} + 15 \text{ minutes} = 180 + 15 = 195 \text{ minutes}.
\]
2. **Cindy's Time**: The question states "the total time was 3 115 minutes," but this seems to be a typographical error and should likely be "3 hours and 15 minutes" which we have already calculated. Thus, without more information about each individual's time, we cannot determine Cindy's specific time.
3. **Difference Between Fastest and Slowest Girl's Time**: Without specific times for each girl, this cannot be calculated. We would need the individual times of each runner to answer this.
4. **Breaking the School’s Record**: The record to beat was 2 hours and 5 minutes. This also needs to be converted to minutes:
\[
2 \text{ hours} \times 60 \text{ minutes/hour} + 5 \text{ minutes} = 120 + 5 = 125 \text{ minutes}.
\]
Now, we compare the total time:
- Total time for the girls: **195 minutes**.
- Record time to beat: **125 minutes**.
Next, we analyze whether they broke the record:
\[
195 \text{ minutes} - 125 \text{ minutes} = 70 \text{ minutes}.
\]
Since 195 minutes is greater than 125 minutes, the girls **did not break the record**. They were **70 minutes slower** than the record.
To summarize:
- We cannot determine Cindy’s time with the provided information.
- The difference between the fastest and slowest girl's times cannot be calculated without individual times.
- The girls did not break the record; they were 70 minutes slower.