A can do a piece of work in 25 days and B can do the same work in 30 days. They work together for 5 days, how much of work is left?Options1126319/301129315/30

Sure, let's solve this step by step:

1. First, we need to find out how much work A and B can do in a day.

   A can finish the work in 25 days, so A can do 1/25 of the work in a day.

   B can finish the work in 30 days, so B can do 1/30 of the work in a day.

2. Now, let's find out how much work they can do together in a day.

   A and B together can do (1/25 + 1/30) of the work in a day.

   To add these two fractions, we need to find a common denominator. The least common multiple of 25 and 30 is 150. So, we convert the fractions to have the denominator 150:

   A's work = (1/25) * 6/6 = 6/150

   B's work = (1/30) * 5/5 = 5/150

   Adding these two, A and B together can do (6/150 + 5/150) = 11/150 of the work in a day.

3. They work together for 5 days, so in 5 days, they can do 5 * (11/150) = 55/150 of the work.

4. To find out how much of the work is left, we subtract the work done from the total work (which is 1).

   So, the work left is 1 - 55/150 = 95/150 = 19/30 of the work.

So, the correct option is 19/30.