Question

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

Answer 1

$\huge{\mathcal{\underline{\green{Answer}}}}$

A can do the work in 6 days

A in 1 day can finish 1/6 th of the work

In 2 days A would have finished 2 x 1/6 = 1/3 Of the work

Remaining work to be completed: 2/ 3 of the work

B in 1 day can finish 1/4 th of the work

A & B in 1 day can finish 1/4 + 1/6 = 5/12 work

5/12 Of the work can be completed by A and B in 1 day

2/3rd of the work to be completed :— 2/3 x 12/5 = 8/5 days

1/3 rd of the work earlier by A alone :— 2 days

Total time taken to complete the work:— 2 + 8/5 days = $3 \frac{1}{6}$days

Answer 2

18/5 Days

This is The Answer