Jack and Jill ran a 400 meter race. Jill ran therace in 50 second and won by 5 meters; that is Jack had run only 295 meter when Jill crossed the finish line. They decide to race again,but this time Jill starts 5 meters behind the starting line. Assuming the both runner run at the same pace as before. who will win the seccond race and by how many second.Round the answer to neartest thousand of a second.

I think maybe Jack had run 395 meters, not 295 and will proceed on that basis.

Now Jill runs 400 meters in 50 seconds, or 8 meters/second
But Jack runs 395 meters in 50 seconds or 7.9 meters/second

so how long will it take Jill to run 405 meters?
405 meters / (8 meters/s) = 50.625 seconds
and how long will it take Jack to run 400 meters?
400/7.9 = 50.633 seconds
That should do it

To determine who will win the second race and by how many seconds, let's break down the information provided.

In the first race:
- Jill ran 400 meters in 50 seconds, winning by 5 meters.
- Jack ran 295 meters when Jill crossed the finish line.

Therefore, we can calculate the pace of Jill and Jack in meters per second:

Jill's pace = 400 meters / 50 seconds = 8 meters/second
Jack's pace = 295 meters / 50 seconds = 5.9 meters/second

Now, let's consider the second race:
Jill starts 5 meters behind the starting line.

Since Jill's pace remains the same, we can calculate the time it takes for Jill to run the same 295 meters Jack ran in the first race:

Time = Distance / Pace
Time = 295 meters / 8 meters/second
Time = 36.875 seconds

Now, we need to add the time it takes for Jill to cover the additional 5 meters she initially fell behind by:

Additional Time = Additional Distance / Pace
Additional Time = 5 meters / 8 meters/second
Additional Time = 0.625 seconds

Therefore, the total time for Jill to complete the second race is:

Total Time = Time for 295 meters + Additional Time
Total Time = 36.875 seconds + 0.625 seconds
Total Time = 37.5 seconds

Comparing this to Jack's time, we can see that Jack took 50 seconds to complete the first race. Therefore, Jill wins the second race by (50 - 37.5) = 12.5 seconds when rounded to the nearest thousandth.

Note: This answer assumes that the pace of each runner remains constant throughout the races. It also assumes that the runners start running at the same time.