It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day. Working at the same pace, how many days will it take 2 people to do the same work, if they are working 5 hours a day?

It will take 2 people 10 days to complete the task.

Step-by-step explanation:

It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day, i. e., 10 people take 10 working hours to complete a task.

When number of people is decreased by 5 times, i. e., 10:5=2, then the amount of working hours are increased by 5, i. e., 10*5 = 50 hours.

If the 2 workers work 5 hours per day then they will require 10 days to complete the task of 50 hours.