Question

A and B can do a piece of work in 12 days, B and C can do the work in 15 days while C and A can do it in 20 days. How long will they take,working together to completethe work​

Answer 1

Answer:

48 Days

Step-by-step explanation:

According to questions,

A worked for 5 days and

B worked for 7 days

If A and B Work together for 5 days

they would complete 4×5=20 units

remaining work = 48−20

=28 units

Now B has to work for 2 more days and if he does it along

with C for 2 days. Then, both would complete (3×2)=6

units of work.

work left = 28−6=22 units

Now C completes in 13−2=11 days

So, C works 22/11 = 2 units / day

(efficiency) and B+Cdoes 3 units / day (efficiency)

So B does 1 unit/day

B will complete the whole work in = 48 days

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Answer 2

Answer:

a+b=12...1

b+c=15...2

adding 1 and 2

a+b+b+c=12+15

a+2b+c=27...3

a+c=20...4

subtracting 4 from 3

a+2b+c-a-c=27-20

2b=7

b=3.5...5

adding 4 and 5

a+c+b=20+3.5

~~a+b+c=23.5

Step-by-step explanation:

they will take 23.5 days