<PRE><B>Question 250849</B>
let:


z = distance zeno has to travel
o = distance that orb has to travel
y = distance that yurko has to travel
s = distance that sam has to travel.


from the problem statement:


o = z/2
y = z + o which is equivalent to z + z/2
s = 3z


total distance they trafel is 888 space miles.


this means that:


z + o + y + s = 888


substituting all values in terms of z, we get:


z + (z/2) + (z + z/2) + 3z = 888


simplifying by removing parentheses gets:


z + z/2 + z + z/2 + 3z = 888


combining like terms gets:


6z = 888


dividing both sides of the equation by 6 gets:


z = 148


o = z/2 = 148/2 = 74


y = z + o = 148 + 74 = 222


s = 3z = 444


148 + 74 + 222 + 444 = 888 confirming the answers are good.


your answer is:


zeno travels 148 space miles
orb travels 74 space miles
yurko travels 222 space miles
sam travels 444 space miles




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