Question

A and B can finish a piece of work in 6 days and 4 days respectively. A started the work, and after 2 days, B also joined the work. Find the total time taken by both of them to finish the work.

(Explain the procedure and solve using unitary method; No spam; 16 points)​

Answer 1

Answer:

18/5 days

Step-by-step explanation:

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 !

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Answer 2

Answer:

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