Question
Three planks of different lengths, Q, R and S are nailed together to make a frame as shown. Plank Q has 3 holes which divide it into 4 equal parts. Plank R has 4 holes which divide it into 5 equal parts and Plank S has 5 holes which divide it into 6 equal parts. In the frame, the holes L, M and N are three corners of an equilateral triangle. Plank Q is 384 cm long. What is the total length of Plank Q, Plank R and Plank S?
3 m

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Three planks of different lengths, Q, R and S are nailed together to make a frame as shown. Plank Q has 3 holes which divide it into 4 equal parts. Plank R has 4 holes which divide it into 5 equal parts and Plank S has 5 holes which divide it into 6 equal parts. In the frame, the holes L, M and N are three corners of an equilateral triangle. Plank Q is 384 cm long. What is the total length of Plank Q, Plank R and Plank S?