Question

A and B together can do a work in 12
days, B and C together in 15 days and
C and A together in 20 days. They all
work together for 6 days and then A
left. In how many more days can B
and C finish the remaining work?
O 12 days
6 days
O 18 days
O 8 days​

Answer 1

Answer:

a+b 1 day work = 1/12 -------> equation 1

b+c 1 day work= 1/15 ----------> equation 2

c+a 1 day work= 1/20 -------------> equation 3

by subtracting equation 1 and 2 we get

a-c = 1/60 --------------------> equation 4

now adding equation 3 and 4

we get A's one day work

a=1/30 ------------------------> equation 5

now putting value of equation 5 in equation 1 and 3

we can get value of C and B respectively 1/20 and 1/60

A's one day work + B's one day work + c's one day work = 1/10

if they work together it will take 10 days to complete them the whole work

Hope this is helpful for you.