Barbara, Donna, Cindy, and Nicole ran in a relay race.
Barbara: 3 3/10
Donna: 2 4/5
Cindy: 3 2/5
Nicole: 2 1/10
1. The four girls ran in a relay race as a team. If each girl ran one part of the race, what was the team's total 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 12 2/5 minutes. Did the girls break the record? If so, how much faster were they? If not, how much slower were they?
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This is the same as the first one but with different people and times.
James: 2/3
Gilbert: 11/12
Matthew: 5/6
Simon: 7/12
4. The four boys ran in a relay race as a team. If each boy ran one part of the race, what was the team's total time?
5. Find the difference between the fastest boy's time and the slowest boy's time.
3. To break the school's record. The boy's time had to be faster than 2 7/12 minutes. Did the boys break the record? If so, how fast were they? If not, how much slower were they?
The first question is 3 2/5
JUsT SAY THE AWNSER
Cindy ran a total time of 3 2/5 minutes.
WHAT Is the answer👀
To find the answers to these questions, we need to calculate the total time for each team, find the difference between the fastest and slowest times, and compare the results to the required record time. Let's go step by step.
1. To find the team's total time, we add up the individual times of each runner:
Total time = Barbara's time + Donna's time + Cindy's time + Nicole's time
Barbara's time: 3 3/10 minutes can be written as the improper fraction (31/10) minutes.
Donna's time: 2 4/5 minutes can be written as the improper fraction (14/5) minutes.
Cindy's time: 3 2/5 minutes can be written as the improper fraction (17/5) minutes.
Nicole's time: 2 1/10 minutes can be written as the improper fraction (21/10) minutes.
Total time = (31/10) + (14/5) + (17/5) + (21/10)
= (62/20) + (28/10) + (34/10) + (21/10)
= (145/20)
= 7 1/4 minutes
Therefore, the team's total time is 7 1/4 minutes.
2. To find the difference between the fastest girl's time and the slowest girl's time, we subtract the slowest time from the fastest time:
Difference = Fastest girl's time - Slowest girl's time
Fastest girl's time: 2 1/10 minutes = (21/10) minutes
Slowest girl's time: 3 3/10 minutes = (31/10) minutes
Difference = (21/10) - (31/10)
= -10/10
= -1 minute
Therefore, the difference between the fastest and slowest girl's times is 1 minute (the negative sign indicates that the fastest time is 1 minute less than the slowest time).
3. To determine if the girls broke the record, we need to compare their total time to the required record time:
Record time: 12 2/5 minutes = (62/5) minutes
Girls' time: 7 1/4 minutes = (29/4) minutes
The girls did break the record since their time (29/4) minutes is faster than the required record time (62/5) minutes.
Difference = Record time - Girls' time
= (62/5) - (29/4)
= (248/20) - (145/20)
= (103/20)
= 5 3/20 minutes
Therefore, the girls were 5 3/20 minutes faster than the school's record.
Now let's move on to the second set of questions:
4. To find the team's total time, we add up the individual times of each runner:
Total time = James' time + Gilbert's time + Matthew's time + Simon's time
James' time: 2/3 minutes
Gilbert's time: 11/12 minutes
Matthew's time: 5/6 minutes
Simon's time: 7/12 minutes
Total time = (2/3) + (11/12) + (5/6) + (7/12)
= (8/12) + (11/12) + (10/12) + (7/12)
= (36/12)
= 3 minutes
Therefore, the team's total time is 3 minutes.
5. To find the difference between the fastest boy's time and the slowest boy's time, we subtract the slowest time from the fastest time:
Difference = Fastest boy's time - Slowest boy's time
Fastest boy's time: 7/12 minutes
Slowest boy's time: 2/3 minutes
Difference = (7/12) - (2/3)
= (7/12) - (8/12)
= -1/12 minutes
Therefore, the difference between the fastest and slowest boy's times is 1/12 minutes (the negative sign indicates that the fastest time is 1/12 minutes less than the slowest time).
6. To determine if the boys broke the record, we need to compare their total time to the required record time:
Record time: 2 7/12 minutes = (31/12) minutes
Boys' time: 3 minutes
The boys did not break the record since their time (3 minutes) is slower than the required record time (31/12 minutes).
Difference = Boys' time - Record time
= (3) - (31/12)
= (36/12) - (31/12)
= (5/12) minutes
Therefore, the boys were 5/12 minutes slower than the school's record.
WHAT WAS THE 2
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What's your work so far?
1. If they all ran, you would add the times.
2. Subtract the fastest from the slowest.
3. Find the difference between #1 and #3.
4. Same as #1.
5. Same as #2.
3? Same as #3.
These are the processes. Now you do the work.