Question

A and B can complete a work in 6 days. B and C can complete the same work in 8 days. C and A can complete in 12 days. How many days will take for A, B and C combined together to complete the same amount of work ?

SOLVE USING QUADRATIC EQUATION. ​

Answer 1

Answer:

12 days

Explanation:

because the maximum number is 12 so all the A, B and C takes 12 days to complete work

Answer 2

From the given information, we can have

(A + B)'s 1 day work = 1/6

(B+C)'s 1 day work = 1/8

(A + C)'s 1 day work = 1/12

(A+B+B+C+ A + C)'s 1 day work = 1/6 +

1/8 + 1/12

(2A + 2B + 2C)'s 1 day work = 1/6 + 1/8 + 1/12 2. (A + B + C)'s 1 day work = 1/6 + 1/8 +1/12

L.C.M of (6, 8, 12) = 24.

Then, we have

2. (A + B + C)'s 1 day work = 4/24 + 3/24+ 2/24

2. (A + B + C)'s 1 day work = 9/24

2. (A+B+C)'s 1 day work = 3/8

(A + B + C)'s 1 day work = 3/(2.8)

(A + B + C)'s 1 day work = 3/16

Time taken by A, B and C together to

complete the work is

= 16/3

= 5½ days

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