A medium question on tree planting for P3–P4, with a step-by-step solution, diagrams and the answer. Common in the Hua Xia Cup's P2 to P5 papers. Sawing logs, striking clocks and lining up lamp posts are all the same problem.
The question
A straight road in a housing estate is 70 m long.
Workers plant trees on both sides of it.
On each side the row runs from one end of the road to the other, with a tree at each end, and neighbouring trees are 5 m apart.
How many trees do the workers plant?
Show the hints (2)
💡Hint 1: Do the two sides get the same number of trees? Look at one side first.
💡Hint 2: How many gaps on one side? With both ends planted, how many more trees than gaps?
Worked solution
Have a go first, then read the solution step by step.
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