A and B can do a piece of work in 36 days .B and C can do it in 60 days. A and C can do it in 45 days. in how many days can A,B and C working together can finish the work?
Answers
Step-by-step explanation:
Given:
A and B can do a piece of work in 36 days
B and C can do the same work in 60 days
A and C can do the same work in 45 days
Concept used:
Total days of work = Work/(One day work)
Calculation:
1 day work of (A + B) = 1/36 …………..(1)
1 day work of (B + C) = 1/60 …………..(2)
1 day work of (A + C) = 1/45 …………..(3)
Adding (1), (2), and (3)
1 day work of 2(A + B + C) = 1/36 + 1/60 + 1/45
⇒ 1 day work of 2(A + B + C) = 1/36 + 1/60 + 1/45
⇒ 1 day work of 2(A + B + C) = (5 + 3 + 4)/180
⇒ 1 day work of 2(A + B + C) = 12/180
⇒ 1 day work of 2(A + B + C) = 1/15
⇒ 1 day work of (A + B + C) = 1/30
1 day work of A = 1 day work of (A + B + C) – 1 day work of (B + C)
⇒ 1 day work of A = 1/30 – 1/60
⇒ 1 day work of A = (2 – 1)/60
⇒ 1 day work of A = 1/60
Total number of days completed by A = Work/(1 day work of A)
⇒ Total number of days completed by A = 1/(1/60)
⇒ Total number of days completed by A = 60 days
∴ Total number of days completed by A is 60 days.
it's is the process of transfer of energy from one body to another
