This's my first post in this great forum.
Today, i have something to share you with.
It's a puzzle which came out of the blue when i was working on my homework
It's quite looong but it does make sense (i guess )
Here you go guys>>
A factory produces chemical liquids in special flasks with special lids.
This factory will produce:
> 99 flasks numbered from 1 to 99
> 99 chemical liquids numbered from 1 to 99 Each liquid has a distinctive color.
> The time required to fill a flask with a single chemical liquid= 1 minute.
> The time required to empty that flask = 0.5 minute.
>> two workers will fill the 99 flasks with the chemical liquids (carefully) pursuant to numbers. (Liquid no.1 in flask no. 1 and liquid no. 2 in flask no. 2, and so on)
>> After filling all 99 flasks, a special machine will start closing the flasks with lids. (This machine starts at a predetermined time can not be amended except by the supervisor).
>> When the 2 workers had finished filling all 99 flasks they realized that the flasks have been numbered wrongly! (meaning the flask that is supposed to be No. 1 has been given No.99 and the flask that is supposed to be No. 2 has been given No. 98, and so on).
They decided to refill them again in reverse order to pour every liquid in the designated flask!
Note: the two workers can't empty or refill same flask at a time.
The DILEMMA is that after 74 minutes, the 99 flasks should be filled and placed in the designated area (under the machine) to start closing the flasks with the lids AND the supervisor has left the factory!
Note: ignore the time needed to carry the flasks from the filling area to lids closing area!
The question is: Are the 74 minutes sufficient to accomplish the task (empty and refill again) and put the flasks in the designated area before the machine starts working, and
What is the minimum time in which they can finish the task?
Will the workers be able to avoid the factory squandering high-cost lids if the machine started working before placing the flasks, as well as delay shipment schedule, which as a whole may be a compelling reason to fire the 2 workers
Waiting for any smart answer