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T2 CH1 Numbers — Maths STD 6 — Question

Tamilnadu BoardEnglish MediumSTD 6MathsT2 CH1 Numbers5 Marks
Question
The traffic lights at three different road junctions change after every 40 seconds, 60 seconds and 72 seconds respectively. If they changed simultaneously together at 8 a.m at the junctions, at what time will they simultaneously change together again?
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Answer

This is a HCF related problem.
So, we need to find the HCF of 80, 100, 120
2 80
2 40
2 20
2 10
5
2 100
2 50
5 25
5
2 120
2 60
2 30
3 15
5
80 = 2 × 2 × 2 × 2 × 5
100 = 2 × 2 × 5 × 5
120 = 2 × 2 × 2 × 3 × 5
HCF of 80, 100 and 120 = 2 × 2 × 5 = 20
Volume of the vessel = 20 litres

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