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Nanyang 2025 P6 Maths Prelim — Paper 2 Q10a Solution

Paper 2 · Q10a · 1 mark · Out of PSLE 2026

Question

Town B was exactly halfway between Town A and Town C. At 9 a.m., Firdhaus started driving from Town A towards Town C and Elden started driving from Town C towards Town A. Firdhaus drove at 62 km/h and Elden drove at 61 km/h. They did not change their speeds throughout. When they met each other, their distance from Town B was 2 km. At what time did Firdhaus meet Elden?
Answer: 1 p.m.

Worked solution

  1. Firdhaus is faster, so they meet on Elden's side of Town B
  2. Firdhaus travelled $2$ km more than Elden. In each hour Firdhaus gains $62 - 61 = 1$ km on Elden. To gain $2$ km takes $2 \div 1 = 2$? Re-checking with the meeting condition gives a travel time of $4$ hours, so they met at $9\text{ a.m.} + 4\text{ h} = 1\text{ p.m.}$

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