If the efficiency of 5 men is increased by 50%, how long would it take them to complete the job?

To determine how long it would take for 5 men, whose efficiency increases by 50%, to complete a job, it's important to first understand the concept of efficiency and how it relates to time and work.

Let's assume that the original efficiency of the 5 men allows them to complete a job in a set number of hours, which we'll denote as 'X' hours. In the initial scenario, the total work done can be viewed as a product of the number of men, their efficiency, and the time they take.

When the efficiency increases by 50%, each man's work output increases significantly. If we think of the original efficiency as 'E', the new efficiency becomes '1.5E' per man. With 5 men working at this increased efficiency, the total efficiency now is:

Total efficiency = 5 men × 1.5E = 7.5E

This total efficiency demonstrates that the work can now be completed faster. To find the new time taken to finish the job, we can set up the relationship between work, efficiency, and time. Since the amount of work remains constant—in terms of what needs to be completed—if the efficiency increases, the time taken to complete the job will decrease.

To illustrate