Math, asked by moula2371, 11 months ago

SShwetha comes to the swimming pool once every 12 days. Vinnie comes once every 4 days and Olga comes every 10 days. Last monday all of them were in the swimming pool. in how many days will all of them meet at the swimming pool again? What day of the week will it be/

Answers

Answered by sanjeevk28012
0

Given :

Shwetha comes to the swimming pool once every 12 days

Vinnie comes to the swimming pool once every 4 days

Olga comes every 10 days.

At  Last Monday all of them were in the swimming pool

To Find :

( a ) In how many days will all of them meet at the swimming pool again

( b ) What day of the week will it be

Solution :

∵ Shwetha comes to the swimming pool once every 12 days

Vinnie comes to the swimming pool once every 4 days

Olga comes every 10 days.

Now,

( a )

They will meet again on = LCM of ( 12 days , 4 days , 10 days )

Or, Factor of 12 = 2 × 2 × 3

     Factor of 4 = 2 × 2

     Factor of 10 = 2 × 5

So, The  LCM of ( 12 days , 4 days , 10 days ) = 2 × 2 × 3 × 2 × 5

Or,                                                                      = 120

So, They will meet again after 120 days

( b )

If they meet on Monday ,

∵ In 120 days , total weeks = 17

                        total day = 1

So, As Today is Monday , then after 17 weeks , day come = Monday

 and 1 more day = Monday + 1

                           = Tuesday

So, The day of week = Tuesday

Hence,

( a ) They will meet again after 120 days

( b ) The day of week will be Tuesday  . Answer

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