# How much distance did the fly cover?

t=d/v1+v2

Please convince yourself that the fly flies the same t=d/(v1+v2).

k ,i know that but i dont know the vaules of the variables,so how do i solve it

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?

t x v1+v2=d

For the distance the fly flies, shouldn't you use the fly's velocity, v3?

so v3=t*v1+v2

Back to basics. d=vt

d=vt
d=v3*d/(v1+v2)

Last edited:
d=vt
v3=d/(v1+v2)
Sorry, getting crossed messages.

Do you see that d, fly = v3*t?

yes i understand that d of fly= v3*t
Df=v3*d/(v1+v2)
equals
v1+v2*Df=v3*d
right?

Last edited:
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?

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?

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).