Class 8th
A and B can do a piece of work in 12 days, while B and C can do it in 15 days whereas A and C can do it in 20 days. How long would each take to do the same work?
Please give me answer
Answers
Answered by
2
Answer:
Step-by-step explanation:
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 = 60/12 = 5
Number of units done by B and C = 60/15 = 4
Number of units done by C and A = 60/20 =3
Number of days all A, B and C take together is given by
60 x2 /(5+4+3)
=120/12
=10
Hence, A, B, and C together take 10 days to complete a piece of work.
Similar questions