Question

In a 100-m race, the winner is timed at 11.2 s. The second-place finisher’s time is 11.6 s. How far is the second-place finisher behind the winner when she crosses the finish line?

a) 1.2 m
b) 2.4 m
c) 3.6 m
d) 4.8 m

Answer 1

The second-place finisher is approximately 107.52 meters behind the winner when she crosses the finish line.

Step-by-step explanation:

To find how far the second-place finisher is behind the winner, we need to calculate the difference in their times. The winner has a time of 11.2 seconds and the second-place finisher has a time of 11.6 seconds. The difference between their times is:

11.6 s - 11.2 s = 0.4 s

Since the velocity of each runner is constant throughout the race, we can use the formula distance = velocity × time. In this case, the time difference is 0.4 seconds. Given that the distance is 100 meters, we can substitute these values into the formula:

distance = velocity × time

distance = velocity × 0.4 s

Since the speed of the winner is the same speed for the second-place finisher, we can use the speed formula:

distance = speed × time

distance = 100 m - 0.4 s × 11.2 m/s

distance = 112 m - 0.4 m/s × 11.2 s

distance = 112 m - 4.48 m

distance = 107.52 m

Therefore, the second-place finisher is approximately 107.52 meters behind the winner when she crosses the finish line. Therefore, the correct answer is not listed among the options provided.