SOLUTION: Call Betty as B, Isabel as I and so on. Draw a horizontal straight line and mark any point on it and name it U (as the name of Ursula features twice in the problem). This is t

Question 40593: Call Betty as B, Isabel as I and so on.
Draw a horizontal straight line and mark any point on it and name it U (as the name of Ursula features twice in the problem).
This is the position of Ursula.
Assume all the runners are going left to right.
Now mark the point B to the left of U as Bethy finished behind Ursula.
Distance between B and U is 30 cm (12 in = 30 cm).
In the same way mark the points A and L and note their distances from U and A are 7.5 cm and 500 cm respectively.
Nothing is mentioned about Isabel.
So assume that she is neither first nor last.
From the figure you draw it is clear that U is first and L is last.
Find from the figure, distance between U and L = 507.5 cm.
As C finished half way between the first and last person, so mark C on the figure as the mid-point of the line segment UL.
Note: LC = UC = = 253.75 cm.
Forget about Isabel.
Look at the figure and you will be able to tell that U finished first, then A, then B, then C and then L at last.
Distance between two women is the length between the points marked with the first letters of their names.
Note AU = 7.5 cm, AB = 22.5 cm, BC = 223.75 cm and BL = 253.85 cm.
Well, no comment on Isabel unless any further data is given.
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!

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