Math, asked by chaitanyacharan1k, 4 days ago

a+b,b+C,C+A can complete a work un 10,12,20 days respectively. in how much they alone do the work.

Answers

Answered by honeygala
3

Answer:

a = 30 days . b= 15 days. c = 60 days

Step-by-step explanation:

take LCM of 10, 12 ,20 i.e 60.. so we assume total units of work as 60

so per day a+b does 6 units of work. ( 60 / 10)

b+c = 5 units of work ( 60/ 12)

c+ a = 3 units of work.(60/20)

total a + b + c does 7 units of work daily. ( 6+5+3)/2

a alone does. 2 units ( 7-5)

b alone does 4 units

c alone does 1 unit of work.

hence a takes 30 days. (60/2)

b takes 15 days

c takes 60 days

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