Three boys step off together from the same place. If their steps measure 36 cm, 40 cm and 54 cm, at what distance from the starting point will they again step together?
Answers
Step-by-step explanation:
From the starting point, All the three boys will again step together at 432 centimeters
Step-by-step explanation:
One step measure of first boy = 36 cm
One step measure of second boy = 48 cm
One step measure of third boy = 54 cm
Now, They all will meet at all the multiples of the measures of their steps.
But we need to find when they will first meet so for his we will need to find L.C.M. of all the step measures of the three boys.
So, L.C.M. of 36, 48 and 54 = 432
Hence, From the starting point, All the three boys will again step together at 432 centimeters
Answer:
From the starting point, they will step together again when they travel a distance that is exactly divisible by the lengths of their steps.
The least distance from the starting point where they will step together will be given by the LCM of 36, 48 and 54.
The required distance = 2 × 2 ×3 × 3 × 3 × 2 × 2
= 16 × 27
= 432 cm
∴ They will step together again at a distance of 432 cm from the starting point.