Question

A atone done a work in 40
days. A and B time ratio is
5:3. how many day both working together complete the work​

Answer 1

Answer:

15 days.

Step-by-step explanation:

If A can do it in 40 days.

B can do it in  40*3/5 days

=  24 days

now, days to complete the work is

1/(1/40 + 1/24)

= 1/(8/120)

= 15 days

Answer 2

Answer:

They can complete the work together in 15 days.

Step-by-step explanation:

The time taken ratio is 5:3.

Given time taken by A is 40.

i.e., 5 parts of the ratio 5:3 equals 40

Therefore 3 parts equals to 24.

i.e., B alone takes 24 days to complete the work.

Now to find the time taken by them together is

(1/40)+(1/24)[ Here 1/40 implies the amount of work done in 1day]

=8/120

=1/15 or 15 days.