the answer to question 1 is a tie and how many yards is 0.the answer to the second question is 10 yards behind the finishing line.
so I was correct i got same answer like you
let Yolanda' time to finish the 100 yds be t sec
then Yolanda's rate = 100/t yds/sec
Yoko's rate = 90/t yds/sec
Distance for Yolanda is 110 yrd
Distance for Yoko is 100 yrd
time to run for Yolanda to run 110 yrs = 110/(100/t) = 1.1 t
time for Yoko to run 100 yrs = 100/(90/t) = 1.1111..t
So when Yolanda has done her 110 yds in 1.1t seconds, Yoko would not be finished yet
So it is not a tie..!!!
let the distance Yolanda should start behind the starting line be x yds
so for the times to be the same..
(100+x)/(100/t) = 100/(90/t)
t(100+x)/100 = t(100)/90
divide by t
(100+x)/100 = 100/90
90(100+x) = 100(100)
9(100+x) = 10(100)
900 + 9x = 1000
9x = 100
x = 100/9 = 11.11111. yds
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