Question

p can complete the work in 12 days working 8 hours a day. q can complete the same work in 8 days working 10 hours a day. if both p and q work together 8 hours a day, in how many days can they complete the work?

Answer 1

To find how many days it will take for p and q to complete the work together, calculate their individual rates of work. When working together for 8 hours a day, their combined rate of work is 18 units/day. Therefore, it will take them approximately 0.055 days or 1.32 hours to complete the work together.

Step-by-step explanation:

To find out how many days it will take for p and q to complete the work together, we need to first calculate their individual rates of work. We can do this by dividing the total work by the product of their respective days and hours.

For p, the total work is 1 (since they complete the work in 12 days), and their rate of work is 8 hours/day. Therefore, their total work is 1 * 8 = 8 units.

For q, the total work is also 1 (since they complete the work in 8 days), and their rate of work is 10 hours/day. Therefore, their total work is 1 * 10 = 10 units.

Now, when they work together for 8 hours a day, their combined rate of work is 8 + 10 = 18 units/day.

Therefore, it will take them 1 / 18 = 0.055 days to complete the work together. This is approximately 0.055 * 24 = 1.32 hours.