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 picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...

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