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In a 400 meter race, 4 runners pass a baton as each of them runs 100 meters of the race. The table shows the split times for the first 3 runners of a relay team. Suppose the team has set a goal of running the race in 210 seconds. Solve the equation

(53,715 + 51.3 + 52.62) + n = 210 to find the number of seconds, n, within which the 4th runner must finish for the team to meet its goal.
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User Danem
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2 Answers

5 votes

Final answer:

The 4th runner must complete their 100-meter segment of the relay race in 52.365 seconds or less for the team to meet their goal of running the race in 210 seconds.

Step-by-step explanation:

To find the number of seconds, n, within which the 4th runner must finish for the team to meet their goal of completing a 400-meter relay race in 210 seconds, we can solve the equation (53.715 + 51.3 + 52.62) + n = 210.

  • First, we add the split times for the first three runners: 53.715 + 51.3 + 52.62 = 157.635 seconds.
  • Next, we subtract this sum from the total goal time: 210 - 157.635 = 52.365 seconds.
  • The 4th runner must therefore complete their segment of the race in 52.365 seconds or less for the team to achieve their goal.

User Gerrit Brouwer
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6.9k points
2 votes

Answer:

Since the equation is addition, reverse it into subtraction. 210-53.715-51.3-52.62= 52.365. You can add 53.715 by 51.3 by 52.62 by 52.365 to check your answer, and it will be 210 so the 4th runner ran 52.365 seconds.

i also got this question but i figured it out lol

User Carsten Hagemann
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8.3k points