How much distance did the fly cover?

  • #26
90
8
t=d/v1+v2
 
  • #27
569
85
Please convince yourself that the fly flies the same t=d/(v1+v2).
 
  • #28
90
8
k ,i know that but i dont know the vaules of the variables,so how do i solve it
 
  • #29
569
85
You don't need values. We're going to end up with an equation.

Now that we have an equation for t, what's the distance the fly flies?
 
  • #31
569
85
For the distance the fly flies, shouldn't you use the fly's velocity, v3?
 
  • #32
90
8
so v3=t*v1+v2
 
  • #33
569
85
Back to basics. d=vt
 
  • #34
90
8
d=vt
d=v3*d/(v1+v2)
 
Last edited:
  • #35
569
85
d=vt
v3=d/(v1+v2)
Sorry, getting crossed messages.

Do you see that d, fly = v3*t?
 
  • #36
90
8
yes i understand that d of fly= v3*t
Df=v3*d/(v1+v2)
equals
v1+v2*Df=v3*d
right?
 
Last edited:
  • #37
569
85
v3*d/(v1+v2)
equals
v3*d=v1+v2
right?
But we already know that t=d/(v1+v2).

We have the time the fly flies = t.
We have the velocity of the fly = v3.
We know d,fly = v3*t.

So what is d,fly in terms of the given variables: d, v1,v2, and v3?
 
  • #38
90
8
i edited my meassge
so reposting it
yes i understand that d of fly= v3*t
Df=v3*d/(v1+v2)
equals
v1+v2*Df=v3*d
right?
 
  • #39
569
85
yes i understand that d of fly= v3*t
Df=v3*d/(v1+v2)
equals
v1+v2*Df=v3*d
right?
Other than parentheses around the second v1+v2, my work here is done.

Please know that this puzzle has stumped many people (usually trying to solve it with an infinite series).
 
  • #40
90
8
thank you for your help
 
  • #41
90
8
Now i have a new problem, my teacher wants me to solve this using with infinite series? So how do infinite series work?
 

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