Question

6. A can do 1/4 of work in 5 days, while B can do
1/5 of the work in 6 days. In how many days can both do it together?​

Answer 1

Answer:

Both "A" and "B" will together finish the work in 12 days.

Step-by-step explanation:

A can do 1/4 of the work in 5 days. This means that A will take 20 days to complete the work. This also means that A will finish 1/20 of the work in 1 day.

Similarly, B will finish 1/30 of the work in 1 day.

If A and B work together, the fraction of the work that will get done in 1 day is:

1/20 + 1/30

= 5/60

= 1/12

This means that when (A+B) are working, they will together finish 1/12 of the work in 1 day. This is to say they will take 12 days to finish the work.

Number of days to finish work = 1/[Fraction of work finished in one day]