To calculate the pacing needed to run the second half of a half marathon faster than the first, we need to consider the total time to complete the race and the percentage decrease in time per lap.
Given:
Total time to complete the race: 4620 seconds Decrease percentage per lap: 3% Distance of a half marathon: 21.0975 kilometers Assuming that the race is divided into two equal halves, the distance for each half would be 21.0975/2 = 10.54875 kilometers.
Let’s denote the time taken to run the first half as T1 and the time taken to run the second half as T2. Since the total time is 4620 seconds, we have:
T1 + T2 = 4620
Since the second half is run faster, T2 is less than T1. If we denote the decrease in time per lap as a percentage (in this case, 3%), we can express T2 as:
T2 = T1 - (0.03 * T1) = 0.97 * T1
Substituting T2 in the first equation, we get:
T1 + 0.97 * T1 = 4620
Solving this equation will give us the time taken to run the first half (T1), and substituting T1 in the equation for T2 will give us the time taken to run the second half.
Let’s calculate these values.
2345.17766497 sería el valor T1 y haciendo la sustitución T2 2274.82233503