Deirdre,Tara and Caitlin can complete a certain job in 5 days. Deirdre can do the job alone in 12 days. Tara can do the job alone in 10 days. How many days woul

Question

Deirdre,Tara and Caitlin can complete a certain job in 5 days. Deirdre can do the job alone in 12 days. Tara can do the job alone in 10 days. How many days would it take Caitlin alone to complete the job?

Answer 1

D in 12 T in 10 C in ?

D, T and C in 5

1/C + 1/D + 1/T = 1/(C+D+T)

1/C + 1/12 + 1/10 = 1/5, simplify, solve for C

1/C = 1/5 -1/10 -1/12 = 12/60 - 6/60 - 5/60 = 1/60

1/C = 1/60

C = 60