I do not know how to approach this qn properly ..
Qn - 6 workers working 8 Hours per day were tasked to complete a building project in 5 days . After working for 3 days , 2 of the workers were sick and could not report to work for the next few days . Assuming that all the workers work at the same rate , how many additional hours per day must each of the remaining workers work for the remaining 2 days in order to complete the project on schedule ?
My workings till I got stuck -
6 workers - 8x5= 40hours - 1 project
6 workers - 8x3= 24 h - 24/40 of 1 project
Each worker would be aiming for $8 \times 5 = 40$ hours over the project. This means that the project would have a total of $6 \times 40 = 240$ hours of work to complete.
After $3$ days, the workers would have completed a total of $(8 \times 6) \times 3 = 144$ hours towards completing the project. So, there are $96$ hours left to do, but for the last $2$ days, only 4 of the workers will be contributing. So, each builder will have to work $96/4 = 24$ hours, which means $12$ hours a day each.
Since each builder was already aiming to complete 8 hours a day, this means that they will work an additional $12-8 = 4$ hours per day.