What is the number of consignments that would be packed in the initial $113$ hours? QUESTION: In a factory, $20$ workers start working on a project of packing consignments. They need exactly $5$ hours to pack one consignment. Every hour $4$ new workers join the existing workforce. It is mandatory to relieve a worker after $10$ hours. Then what is the number of consignments that would be packed in the initial $113$ hours?




MY APPROACH: It seems a bit complicated to me.. Firstly, every hour $4$ new workers join the workforce.. I don't know how to handle that.. and above that I have to subtract workers who have worked for $10$ hours.. I am sorry that this time I could not provide any working as I could not do anything as such.. I hoped to learn this here but noone has asked it before.. so I am forced to ask it.. one more thing, I do not know which tag is appropriate for this type of problem, so suggestions on that too are welcome..

Any help will be much appreciated. Thank you so much.
I tried it too but my approach was different .
Let as per condition after 113 hours we have 441 workers they can do one consignment in 100/441 hrs ..now this thing when multiplied by some number should yield 10 cuz every 10 hours a worker is relieved which makes the total number of workers not equal to 441 therefore the greatest integer is 45 which is multiplied to give 10.20 something.
For better understanding see this video
https://youtu.be/3mJ0U-yIXz8
I tried it too but my approach was different .
Let as per condition after 113 hours we have 441 workers they can do one consignment in 100/441 hrs ..now this thing when multiplied by some number should yield 10 cuz every 10 hours a worker is relieved which makes the total number of workers not equal to 441 therefore the greatest integer is 45 which is multiplied to give 10.20 something.
For better understanding see this video
https://youtu.be/3mJ0U-yIXz8