Question

8. A and B can finish a piece of work in 6 days and 4
days respectively. A started the work and worked
for 2 days. He was then joined by B. Find the
total time taken to finish the work.​

Answer 1

Answer:

the total time taken is 6 days

Answer 2

Answer:

18/5

Step-by-step explanation:

Hi,

Given that A can finish a piece of work in 6 days,

So, in one day A will do 1/6 th of work,

Given that B can finish a piece of work in 4 days,

So, in one day B will do 1/4 th of work,

Given that initially A has worked for 2 days,

So A will complete 2*1/6 = 1/3 rd of work

Remaining Work = 2/3 rd of work.

If A and B works together,

In 1 day, bot A and B could do = (1/6 + 1/4) of work

= 5/12 th of work

So, 2/3 rd of work requires 2/3*1/(5/12)

= 8/5 days,

Total time , to finish the work

= Time A working alone an Time taken when both A and B are

working together

= 2 + 8/5

= 18/5 days

Hope, it helps !