three children step off together for morning walk their steps measure 20cm,25 cm and 30 cm respectively at what distance from their starts will three children step together again
Answers
Answer:
300cm or 3m from starting point.
Step-by-step explanation:
1st child's step will be at 20cm, 40cm, ... from starting point. Therefore the steps will be at (multiple of 20)cm from starting point.
2nd child's step will be at 25cm, 50cm, ... from starting point. Therefore the steps will be at (multiple of 25)cm from starting point.
3rd child's step will be at 30cm, 60cm, ... from starting point. Therefore the steps will be at (multiple of 30)cm from starting point.
For them to step together they must step at same distance from starting point which means it is (common multiple of 20, 25 and 30)cm.
They will step together for the first time after start at (LCM of 20 = 2²x5, 25 = 5² and 30 = 2x3x5)cm from starting point or (2²x3x5²) = 300cm from starting point.