A and B can finish a piece of work in
10 days, B and C in 12 days and A and C
in 15 days. How long will they take
to finish the same work if they work
together?
Answers
Number of days in which A and B can do a piece of work = 10 days
Number of days in which B and C can do a piece of work = 12 days
Number of days in which C and A can do a piece of work = 15 days
L.C.M of 10,12,15 = 60.
Number of units done by A and B = 60/10 = 6
Number of units done by B and C = 60/12 = 5
Number of units done by C and A = 60/15 = 4
Number of days all A, B and C take together is given by:
= (60 * 2)/6 + 5 + 4
= (120/15)
= 8
A, B, and C together take 8 days to complete a piece of work.
Hope it help!
Number of days in which A and B can do a piece of work = 10 days
Number of days in which B and C can do a piece of work = 12 days
Number of days in which C and A can do a piece of work = 15 days
L.C.M of 10,12,15 = 60.
Number of units done by A and B = 60/10 = 6
Number of units done by B and C = 60/12 = 5
Number of units done by C and A = 60/15 = 4
Number of days all A, B and C take together is given by:
= (60 * 2)/6 + 5 + 4
= (120/15)
= 8
A, B, and C together take 8 days to complete a piece of work.
Read more on Brainly.in - https://brainly.in/question/12814504#readmore