Question

19. Aan do a piece of work in 6 hours, B in 8 hours and C in 12 hours. How long will the three
take to finish to work if they work together? How will they share ₹3600?​

Answer 1

Step-by-step explanation:

Given:

A can do a piece of work in 6 hours, B in 8 hours, and C in 12 hours

To find:

(1). How long will the three take to finish the work together?

(2). How will they share Rs. 3600?

Solution:

(1). Finding the time taken if A, B & C work together:

A does a work in 6 hrs

∴ In 1 day, A will do = of the work

B does the work in 8 hrs

∴ In 1 day, B will do = of the work

C does the work in 12 hrs

∴ In 1 day, C will do = of the work

So,

In 1 day, A, B & C together will finish,

=

=

=

=

=

Thus, the 3 will take to finish the work.

(2). Finding the share of A, B & C:

The ratio of work done by A, B & C is,

=

taking L.C.M. of the denominators which is 24 and multiplying with each fraction

=

=

Thus,

A's share =

B's share =

C's share =