A and b can do a piece of work in 18 days; b and c can do it in 24 days, a and c can do it in 36 day. in how many days b alone can finish the work?
Answers
Given : A and B can do a piece of work in 18 days; B and C can do it in 24 days, A and C can do it in 36 day.
To Find : how many days b alone can finish the work?
Solution:
Let say A's 1 day work = A
B's 1 day work = B
C's 1 Day work = C
A + B = 1/18
B + C = 1/24
A + C = 1/36
Adding all
=> 2(A + B + C) = 1/18 + 1/24 + 1/36
multiplying both sides by 72
=> 144(A + B + C) = 4 + 3 + 2
=> 144(A + B + C) = 9
=> A + B + C = 9/144
=> A + B + C = 1/16
A + C = 1/36
=> B = 1/16 - 1/36
=> B = ( 9 - 4)/144
=> B = 5/144
=> B' 1 day work = 5/144
B will finish work alone in 144/5
= 28.8 Day
B will finish work alone in 28.8 Day
Learn More:
A, B and C working separately can do a work in 2, 3 and 4 days ...
https://brainly.in/question/8205266
ABC can complete a work in 30 days by working together. A+C are ...
https://brainly.in/question/7115960
Answer:
here is your answer mate thanks
