Maths Olympiad Prep

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, 2015

Geometry Difficulty 1.0 Junior Find the answer United Kingdom

Gill is now 27 and has moved into a new flat. She has four pictures to hang in a horizontal row on a wall which is 4800 mm wide. The pictures are identical in size and are 420 mm wide. Gill hangs the first two pictures so that one is on the extreme left of the wall and one is on the extreme right of the wall. She wants to hang the remaining two pictures so that all four pictures are equally spaced. How far should Gill place the centre of each of the two remaining pictures from a vertical line down the centre of the wall?

(A) 210 mm210\text{ mm} (B) 520 mm520\text{ mm} (C) 730 mm730\text{ mm} (D) 840 mm840\text{ mm} (E) 1040 mm1040\text{ mm}

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