Question

5. A can complete a work in 10 days while B can do it in 15 days. If A and B worked for 3 days and then B left it, find the number of days that A will take to complete the remaining work.​

Answer 1

Answer:

1. A will complete the remaning work in 5 days.

Hope its helpful

Answer 2

Answer:

$\huge\fbox \red{A}\fbox \green{N}\fbox \purple{S}\fbox \orange{W}\fbox \red{E}\fbox \blue{R}$

A can finish the work in 10 days. therefore he can finish 1/10 th of the work in 1 day.

Similarly B alone can finish 1/15 th of the work in 1 day.

If both work together, they can finish (1/10) + (1/15) = 1/6 th of the total work in 1 day.

Therefore, if both worked together they can finish 2 * 1/6 = 1/3 rd of work. That leaves (1 - 1/3) = 2/3 rd of the work to be completed.

But A leaves after working for 2 day. So B alone has to finish the remaining 2/3 rd of the work.

From the second statement above, B can finish 1/15 of work in 1 day. Therefore, to finish 2/3 of the work he would need (2/3) / (1/15) = 10 days.