2 boys start driving from same direction. boy #1 drives 2 blocks east,
2 blocks south, 2 east and 2 blocks north. boy 2 drives 4 blocks east
and 2 blocks south. will they meet?

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Clarification of Question by jonesellis-ga on 23 Aug 2006 18:00 PDT

determine if and where bob and jay will meet if they start driving
from the same intersection.  bob travels 2 blocks east, 2 blocks
south, 2 blocks east and 2 blocks north.  jay starts traveling 4
blocks east and 2 block south

Hello jonesellis-ga,

It depends on what your definition of "meet" is. 

If by "meet" you mean will they have the exact same end-point, the answer is no.

If by "meet" you mean that they will be in the same location at the
same time, the answer is "yes" because move six for both of them is in
the same location (four east, two south from starting point). This is
the resting place for boy #2 and boy #1 is still travelling north
twice as boy #2 is stationary. So it depends whether or not boy #1
stops to "meet" with boy #2.

If by "meet" you mean will they by driving opposite directions and
pass each other, the answer is "yes" because boy #1 will be travelling
south on move 7 and boy #2 will be travelling north on move 5 and they
will pass each other.

If by "meet" you mean will they travel on the same path as the other,
the answer is yes in the following cases:
Boy #1 moves eight times, of which five moves include travelling where
Boy #2 travels:
(Boy 1, move 1 is the same road as Boy 2, move 1)
(Boy 1, move 2 is the same road as Boy 2, move 2)
(Boy 1, move 6 is the same road as Boy 2, move 6)
(Boy 1, move 7 is the same road as Boy 2, move 5)
(Boy 1, move 8 is the same road as Boy 2, move 4)

I hope this helps!

tisme-ga