SOLUTION: 1) Sue is both the 50th best & the 50th worst student at her school. How many students attend her school ? 2) In a race from point X to point Y & back, Jack averages 30 mile

Algebra.Com
Question 1373: 1) Sue is both the 50th best & the 50th worst student at her school. How many
students attend her school ?
2) In a race from point X to point Y & back, Jack averages 30 miles per hour to
point Y & 10 miles per hour back to point X. Sandy averages 20 miles per
hour in both directions. Between Jack & Sandy, who finished first ?

Found 2 solutions by usyim88hk, maxitee:
Answer by usyim88hk(158)   (Show Source): You can put this solution on YOUR website!
1) 99. because 49 people are better then her and 49 people are worse than her and so 49+49+1(Sue) = 99
2)They both finish at the same time because 30+10 = 20+20

Answer by maxitee(11)   (Show Source): You can put this solution on YOUR website!
Answer 1 is perfectly correct. However ANSWER 2 is wrong.

SEE ANSWER:
X_________________________________Y
Let's assume the distance from X to Y is 300 Miles. (Being that the distance is a constant, we can affix any number to it because both racers covered the same distance. So i am choosing 300 Miles for convenience.
Now, the next phase is to look at the time it will take both races to complete the race. The winner is the person that completes the race in a shorter time.
Jack = It will take him 10hours to and 30 hours fro. Using S=D/t (S=>Speed, D=>distance and t=>time)
Sandy = It will take her 15hours to and 15hours fro using the same relationship as above.
Therefore Sandy completes the race first in just 30hours while it takes Jack 40hours.

RELATED QUESTIONS

ali both the 15th best and 15th worst student in his class. how many students attend the... (answered by Fombitz)
At a certain school, 240 of the students take math, 180 of the students take grammar, and (answered by AnlytcPhil,phojhe001)
225 students play a teamsport at a high school. these students represent 3/8 of the total (answered by ankor@dixie-net.com)
Sue walked to her school at 2 miles per hour, picked up her bicycle and rode back home at (answered by ewatrrr)
1. A teacher is passing out first-, second-, and third-place prizes for the best student... (answered by ewatrrr)
there are 450 students and 15 teachers in a school. The school hires 2 new teachers. To... (answered by ankor@dixie-net.com)
in a town of 12,825 residents, 1/3 of the population is school age children. of those 1/9 (answered by solver91311)
All about 1/16 of the students enrolled at a particular elementary school participated... (answered by stanbon)
students in Japan go to school an average of 232+3x days, while students in the U.S. go... (answered by AnlytcPhil)