Math, asked by anugrah30, 10 months ago

A and B can finish a piece of work in 12 days;B and C can do it in 15 days while C and A can finish it in 20 days.In how many days will A,B,C finish it ,working together?​

Answers

Answered by HeAvEnPrlnCesS
1

A+B = 12

B+C = 15

A+C = 20

Lcm of (12,15,20) = 60

Efficiency is

A+B = 5

B+C = 4

A+C = 3

Total efficiency

2 (A+B+C) = 12

A+B+C = 6

Individual efficiency

A = 6 - 4 = 2

B = 6 - 3 = 3

C = 6 - 5 = 1

Individual time taken

A = 60/2 = 30 days

B =60/3 = 20 days

C = 60/1 = 60 days

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