At first, 15 lamp posts were arranged in a row at an equal distance from point P to Q. The distance between 2 lamp posts is 26.6 m. Then, 5 more lamp posts were added. The lamp posts were rearranged at a new equal distance from point P to Q. Find the new distance between two lamp posts.

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Worked solution

3

1. Find the number of intervals between the initial 15 lamp posts

Number of intervals initially = 15−1=1415 - 1 = 14

2. Calculate the total distance from point P to Q

Total distance = 14×26.6=372.414 \times 26.6 = 372.4 m

3. Find the new total number of lamp posts and the new number of intervals

New number of lamp posts = 15+5=2015 + 5 = 20
New number of intervals = 20−1=1920 - 1 = 19

4. Calculate the new distance between two lamp posts

New distance = 372.4÷19=19.95372.4 \div 19 = 19.95 m

Answer

19.9519.95 m

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