Question

A and B can do a piece of work in 15 days B and C can together can finish the same work in 20 days C and a together can finish the same work in 30 days how long will it take to finish the work alone​

Answer 1

Answer:

A and B do a piece of work in 20 days, B and C can do it in 15 days, and A and C can do it in 12 days? In how many days would A, B, and C take respectively to complete the work?

Let total work = LCM(20,15,12) = 60 units

A + B complete 3 units in 1 day

B + C complete 4 units in 1 day

C + A complete 5 units in 1 day

Adding :

=> A+B+C complete 12/2 = 6 units in 1 day

=> C can finish 6–3 = 3 units in 1 day

=> B can finish 6–5 = 1 units in 1 day

=> A can finish 6–4 = 2 units in 1 day

So A, B & C can finish the work alone in 30, 60 and 20 days respectively.