Question 123

Find the maximum number of trees which can be planted, 20 metres apart, on the two sides of a straight road 1760 metres long

Solution

To understand this, let's focus on one side to begin with.

If the straight road was 20 meters, you could have planted two trees.

If it was 40 meters, you could have planted three trees

If it was 'n' meters, you could have planted $$(\frac{n}{20}+1)$$ trees

Number of trees that can be planted on one side = $$\frac{1760}{20}+1$$ = 88 + 1 = 89

Total trees = 89*2 = 178

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