Question

If 'a' completes a piece of work in 3 days, which 'b' completes it in 5 days and 'c' takes 10 days to complete the same work. how long will they take to complete the work , if they work together?

Answer 1

Answer:

If A, B, C work together they will take 1.5 days to complete the work.

Step-by-step explanation:

A completes a piece of work in 3 days

So A's one day work = 1/3

B completes the same work in 5 days

So B's one day work = 1/5

C completes the same work in 10 days

So C's one day work = 1/10

If A, B, C work twogether

(A + B + C)'s one day work = 1/3 + 1/5 + 1/10

= (10 + 6 + 3)/30

= 19/30

(A + B + C)'s one day work = 19/30

So, number of days taken by (A + B + C) to complete the work = 30/19 = 1.5 days (approx)

Therefore if A, B, C work together they will take 1.5 days to complete the work.