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Question

A can do a piece of work in 6 days and B can do it in 8 days .
How long will they take to complete it together ?

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Solution

this type of problem you facing first time i think
this can be solved in LCM technique understant this and all types of this can be solved by this
because of your first attempt you doesnt know this method dont worry further types you defenitely get

We will solve this using the LCM technique.

A takes 6 days & B takes 8 days. So, let the total work be LCM(6,8) = 24 Units

  • A -> 6 days = 4 Units/day (since 6*4=24)
  • B -> 8 days = 3 Units/day (since 8*3=24)

A + B =3+4= 7 Units/day

Thus, TOTAL TIME = 24/7 days
= 3+(3/7) Days (Answer)


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