Question

A,B and C can do a piece of work in 8 days , 12 days , and 24 days, respectively. in how many days will they do it together
Hint : it is a question from direct and inverse variation

Answer 1

Answer:

4 days

Step-by-step explanation:

Given that A can do a piece of work in 8 days.

⇒ Work done by A in 1-day = (1/8).

Given that B can do a piece of work in 12 days.

⇒ Work done by B in 1-day = (1/12)

Given that C can do a piece of work in 24 days.

⇒ Work done by C in 1-day = (1/24).

Now,

∴ Work done by (A + B + C) in 1-day = (1/8) + (1/12) + (1/24)

                                                           = (3 + 2 + 1)/24

                                                           = 6/24

                                                          = 1/4.

So, together they can finish the work in 4 days.

Hope it helps!