Question 1207802
In a 100-meter race,Todd crosses the finish line 5 meters ahead of Scott. To even things up, Todd suggests to Scott that they race again, this time with Todd lining up 5 meters behind the start.

Let Todd's time be t  (s)
Todd's  speed  will be 100/t     (m/  s)

In the same time Scott runs 95 m
Scott's speed = 95/t 

Re run
Now todd runs  105 m
Scott runs 100m 
Todd's time = 105/ (100/t) = 105t/100   = 1.05t  (s)

Scott's time = 100/(95/t)= 100t/95  =1.0526

Assuming that Todd and Scott run at the same pace as before, does the second race end in a tie?
No

(b) If not, who wins?

Todd

(c) By how many meters does he win?

Scott's distance = 1.0526 t*95/t = 99.997 m you find the difference

(d) How far back should Todd start so that the race ends in a tie?

The time they reach should be same with different start line
If Todd runs 100+x meters and Scott  100 meters, their times should be same
t= d/r
Todd's time =Scott's time
(100+x)/(100/t) = 100/(95/t)

(100+x)t/100 = 100t/95

Divide by t
(100+x)/100 = 100/95
95(100+x) = 100*100
9500 +95x = 10000
95x = 500
x = 500/95 = 5.263 m
Todd should start about 5.2632 meters behind the start line  to end in a tie.