Question

A and B can do a given piece of work in 8 days B and C can do the same work in 12 days and A B and C can complete it in 6 days in how many days can a and c finish it.. Solve on a paper

Answer 1

A and B can do a given work in 8 days, B and C do the same work in 12 days and A, B, C complete it in 6 days. In how many days can A and C finish it?

Originally Answered: A and B can do a given piece of work in 8 days. B and C can do the same work in 12 days and A, B, and C can complete it in 6 days. How many days will it take for A and C to finish it?

I wrote some answers and same concepts are used in them.

If A and B can do that task in 8 day

Then they will do 1/8 part of it in one day

B and C can do that task in 12 days

So they do 1/12th part of work in one day

So, (A+B) + (B+C) can do 1/8 + 1/12 = 5/24 part of work ————(1)

And, we know that 1/6th part of work is done by A+ B + C in one day------(2)

Solving,Both equation

A+2B+C = 5/24——(1)

A+B+C =1/6——(2)

Multiplying equation (2) by number 2 and subtracting from (1) to eliminate B

We get,

A+C = 3/24

A+C = 1/8

Hence A and C can do 1/8th part of task in one day

So, They will require a total of 8 days to complete the task when they both (A and C) will work together.

Hope you understood

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Thank you

Edit- Forgot to multiply 2 on both sides of equation (2)

Thank you Bill palmer for pointing out.Very happy that someone is reading my answers

Answer 2

Answer:

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