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.

Sure, let's solve this step by step:

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

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

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

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

   If we add the work A and B can do, we get: 1/25 + 1/30 = 6/150 + 5/150 = 11/150.

   So, together they can do 11/150 of the work in one day.

3. They work together for 5 days, so the amount of work they can do in 5 days is:

   5 * 11/150 = 55/150 = 11/30 of the work.

4. Since the total work to be done is 1 (or 30/30), the amount of work left after they work for 5 days is:

   1 - 11/30 = 19/30 of the work.

So, the amount of work left is 19/30. Therefore, the correct option is 19/30.