Who Won the Race? Analyzing Stride Lengths of Three Children

  • Thread starter Thread starter viren_t2005
  • Start date Start date
AI Thread Summary
In a race between three children, Jack, Ann, and Dough, their stride lengths were analyzed, revealing that Jack's 6 steps equal Dough's 7 and Ann's 8. The distances covered were calculated as 3.5 units for Jack, 4 for Ann, and 4.25 for Dough. However, the discussion highlights that without time units, it's impossible to determine who won the race. The ambiguity in the question suggests that all three could potentially finish simultaneously regardless of their stride lengths. Ultimately, the lack of time measurement leaves the winner undetermined.
viren_t2005
Messages
20
Reaction score
0
Jack, Dough and Ann, 3 children had a race when returnung from school. Ann takes 28 steps when dough takes 34 steps , meantime Jack takes 21 steps. Jack explained that his 6 steps equals dough's 7 steps and Ann's 8 steps . Who won the race?
 
Physics news on Phys.org
Give 1 unit as Jack's 6 steps. then you will get the distances as 3.5, 4 and 4.25 for Jack, Ann and Dough.
 
Not enough information, or the question is ambiguous. No matter how long their stride might be, they could all arrive at the same time. There are no time units.
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks

Similar threads

Replies
1
Views
3K
Replies
5
Views
11K
  • Poll Poll
Replies
10
Views
7K
2
Replies
86
Views
22K
Replies
13
Views
5K
Replies
6
Views
3K
Replies
65
Views
10K
Back
Top