Question

5. A and B can complete a work in 12 days. B and C can complete the same work in 18 days. C and A can complete in 24 days. How many days will take for A, B and C combined together to complete the same amount of work?​

Answer 1

Answer:

Let's take LCM of days

36 is the LCM. Assume the work to be 36 units.

A & B complete 36 units of work in 18 days.

In 1 day, A + B = 2

Similarly, A + C = 3

Similarly, B + C = 4

Adding all,

2A + 2B + 2C = 9

A + B + C = 4.5

But A + C = 3

Hence, B = 1.5

Total work = 36

B will take (36/1.5) = 24 days

Step-by-step explanation:

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