What equation would represent P's capability if P can finish a task 60 days faster than Q, who takes x days?

To determine the correct equation representing P's capability, we need to analyze the relationship between the days each individual takes to complete the task.

If Q takes 'x' days to finish the task, the problem states that P can complete the same task in 60 days less than Q. Consequently, P would take 'x - 60' days to finish the task.

Since the question implies a comparison in productivity or rate, we can denote P's work rate as three times that of Q. When Q takes 'x' days, the work rate of Q can be expressed as 1/x (task per day). P's faster work rate, being three times that of Q, would be 3/x.

To set up the equations properly, we can consider the time taken by P:

• P’s time to complete the task is x - 60.

Now, a work rate can also be expressed in terms of a time variable:

If P's rate is three times Q's, we equate it to their time taken:

1/(x - 60) = 3 * (1/x).

To eliminate the fractions, we can cross-multiply, leading to:

x = 3(x - 60).

Re