Question

a b and c together can do a piece of work in 10 days. a alone can do the work in 20 days and b alone can do it in 30 days. how long will it take C to do the work alone


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Answer 1

Answer:

C can complete in 60 days

Step-by-step explanation:

Given,

a b and c together can do a piece of work in 10 days.

A+B+C=1/10 days    --------(1)

a alone can do the work in 20 days

A=1/20

b alone can do it in 30 days.

B=1/30

how long will it take C to do the work alone?

from Eq(1) we can write

C=1/10-A-B

substitute A and B individual works

C=1/10-1/20-1/30

LCM of 10,20,30 is 60

C=6-3-2/60

C=1/60