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January 31, 2015

January 31, 2015

Posted by **marko** on Thursday, January 26, 2012 at 7:53pm.

i say it would be a tie

next question:

Assuming the girls run at the same rate as before, how far behind the starting line should Yolanda be in order for the 2 to finish in a tie?

10 yards

- math unit rate question -
**chris**, Thursday, January 26, 2012 at 8:03pmthe 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.

- math unit rate question -
**marko**, Thursday, January 26, 2012 at 8:05pmso I was correct i got same answer like you

- Not so fast, grasshopper -
**Reiny**, Thursday, January 26, 2012 at 8:56pmFirst race:

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

Second Race

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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