SOLUTION: A can walk from p to q and back in 20 minutes, whereas b can walk from q to p and back in 30 minutes if a and b start towards each other from p and q respectively at 8:am when will

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Question 760727: A can walk from p to q and back in 20 minutes, whereas b can walk from q to p and back in 30 minutes if a and b start towards each other from p and q respectively at 8:am when will they meet?
Answer by ankor@dixie-net.com(22740) (Show Source):
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A can walk from p to q and back in 20 minutes, whereas b can walk from
q to p and back in 30 minutes \
if a and b start towards each other from p and q respectively at 8:am
when will they meet?
:
Let d = one way distance from p to q
then
= A's speed
and
= B's speed
:
Let t = walking time when they meet
:
Write a distance equation; dist = time * speed
:
A's dist + B's dist = one way dist (d)
t* + t = d
multiply by 30 to get rid of the denominators, resulting in
3td + 2td = 30d
divide thru by d
3t + 2t = 30
5t = 30
t = 30/5
t = 6 min
:
They will meet a 8:06