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  • Four bells are arranged in such a manner that they ring once every 5,8,10 and 12 respectively. After how many minutes of their ringing simultaneously will they ring again together.

Four bells are arranged in such a manner that they ring once every 5,8,10 and 12 respectively. After how many minutes of their ringing simultaneously will they ring again together.

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The time interval between two rings :

  Take LCM 5, 8, 10, 12 minutes-:

                                                   $$ 5 = 5$$\$$ $$ 8 = 2 imes 2 imes 2 $$\$$ $10 = 5 imes 2 $$ \$$ $$ 12 = 2 imes 2 imes 3 $$ \$$ $$ LCM = 2 imes 2 imes 2 imes 3 imes 5 = 120 $$

Hence, the bells will ring simultaneously at an interval of 120 minutes or 2 hours

 

Posted by

Deependra Verma

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