Final answer:
To find out how far ahead Jill is in the race, calculate the distance each runner has covered and find the difference. Assuming the runners continue for 7 minutes, Jill would be far ahead, but this distance does not match any of the available options, indicating a possible error in the question or choices.
Step-by-step explanation:
To find out how far ahead Jill is after 7 minutes, we need to calculate the distance both Jack and Jill have traveled and then find the difference between those distances.
Jill's speed is 8 meters/second, and Jack's speed is 7 meters/second. Since they both ran for the same amount of time, which is 7 minutes, we will convert this time into seconds to match the units of speed. 7 minutes is equivalent to 420 seconds (as 1 minute equals 60 seconds).
Let's calculate the distance each person has run:
- Distance Jill ran = Jill's speed × time = 8 m/s × 420 s = 3360 meters
- Distance Jack ran = Jack's speed × time = 7 m/s × 420 s = 2940 meters
The difference in the distances they ran is:
Distance Jill is ahead = Distance Jill ran - Distance Jack ran = 3360 meters - 2940 meters = 420 meters.
However, since this result is not an option, it seems there might have been a mistake in the question. If the question was meant to ask for the difference after 7 seconds instead of 7 minutes, we would calculate it as:
- Jill's distance after 7 seconds = 8 m/s × 7 s = 56 meters
- Jack's distance after 7 seconds = 7 m/s × 7 s = 49 meters
The difference would then be 56 meters - 49 meters = 7 meters, which is still not an available option, suggesting a typo might have occurred in the provided selections.