Two balls A and B rotate along a circular track. Ball A makes 2 full rotations in 26 minutes. Ball B makes 5 full rotation in 35 minutes. If they start rotating now from the same point, when will they be at the same starting point again?
Answers
-1 rotation -13 minutes
B - 5 rotations - 35 minutes
-1 rotation - 7 minutes
LCM of 13 and 7 is 91
After 91 minutes they both meet at the same point
Concept
The smallest number that is a common multiple of the supplied numbers is known as the least common multiple, or LCM, of two or more numbers.
Given
Ball A is making 2 full rotations in 26 minutes.
Ball B is making 5 full rotations in 35 minutes.
Find
we need to find the time at which the balls will meet at the starting point.
Solution
from the given data,
Ball A is making 2 full rotations in 26 minutes.
which means the ball is making one rotation in = 26/2 = 13 minutes.
Ball B is making 5 full rotations in 35 minutes.
which means the ball is making one rotation in = 35/5 = 7 minutes.
Now we find out the least common factor of number 13 and 7.
= 13 × 7
= 91
Therefore, after 91 minutes the balls will complete there rotation and meet again at the starting point.
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