3 rings complete 60,36 and 24 revolutions in a minute. They Start from a certain point in their 
 
circumference downwards.BY what time they come together again in the same position.

Asked by vandana | 13th Aug, 2016, 03:42: PM

Expert Answer:

begin mathsize 16px style 3 space rings space complete space 60 comma space 36 space and space 24 space revolutions space in space straight a space minute.
The space first space ring space completes space one space revolution space in space 60 over 60 equals 1 space sec space left parenthesis Since space 1 space minute space equals space 60 space seconds right parenthesis
The space second space ring space completes space one space revolution space in space 60 over 36 equals 5 over 3 space sec
The space third space ring space completes space one space revolution space in space 60 over 24 equals 5 over 2 space sec
The space time space they space come space together space again space in space the space same space position space will space be space the space LCM space of space 1 comma space 5 over 3 space and space 5 over 2.
LCM space of space space 1 comma space 5 over 3 space and space 5 over 2 equals fraction numerator LCM space of space left parenthesis 1 comma space 5 comma space 5 right parenthesis over denominator HCF space of space left parenthesis 1 comma space 3 comma space 2 right parenthesis end fraction equals 5 over 1 equals 5
So comma space they space come space together space in space the space same space position space after space 5 space seconds. end style

Answered by Rebecca Fernandes | 13th Aug, 2016, 05:01: PM

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