Question: 7
There is a circular path around a sports field. Sonia
takes
minutes to drive one round of the field,
while Ravi takes
minutes for the same. Suppose
they both start at the same point and at the same
time, and go in the same direction. After how many
minutes will they meet again at the starting point?
Solution:
Both Sonia and Ravi have started at the same time
and are going in the same direction. They will meet
again after completing one complete round of the
circular path.
Therefore, the LCM of both the values of time taken
by Sonia and Ravi will be the time at which they
meet again.
Take factors of
and
Thus,
LCM 18,12 2 2 3 3 36
This shows that Sonia and Ravi will meet after 36
minutes at the starting point.