Question

A and B can do the piece of work in 12 days B and C in 15 days C and a in 20 days if a b c work together they will complete the work in how many days

Answer 1

10 days will be the answer

Answer 2

Answer:  A, B, and C together take 10 days to complete a piece of work.

Step-by-step explanation:

Since we have given that

Number of days in which A and B can do a piece of work = 12 days

Number of days in which B and C can do a piece of work = 15 days

Number of days in which C and A can do a piece of work = 20 days

L.C.M of 12, 15, 20 = 60

Number of units done by A and B = $\dfrac{60}{12}=5$

Number of units done by B and C = $\dfrac{60}{15}=4$

Number of units done by C and A = $\dfrac{60}{20}=3$

Number of days all A, B and C take together is given by

$\dfrac{60\times 2}{5+4+3}\\\\\\=\dfrac{120}{12}\\\\=10$

Hence, A, B, and C together take 10 days to complete a piece of work.