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 four new workers join the existing workforce. It is mandatory to relieve a worker after 10 hours.Then the number of consignments that would be packed in the initial 113 hours is:-​

Answer 1

☯️SOLUTION ☺️

➡️20 workers ==> 1 consignment in 5hrs

➡️1 worker==> 1 consignment in 100hrs

➡️4 workers ==> 1consignment in 25 hrs

So, Consignment done as a function of h(hours) can be written based on the above facts shown consignment

==) (1/5)h+ (1/25)(h-1)h/2 - (1/100)×{(h-10)+(h-20)+ (h-30)+.....+(h-110)

After Consignment h= 113

==) consignment = 270 approximately.

HOPE IT HELPS ☺️

Answer 2

Hey mate

here's the answer

20 workers ability to pack 1 consignment in 5 hours

 = (1/5)

1 worker ability to pack 1 consignment in 100 hours  

= (1/100)

4 workers ability to pack 1 consignment in 25 hours

 = (1/25)

Consignments packed as of h (hours) will be written based on given reasons.

Consignments =

(1/5)h + (1/25)

(h - 1)h/2 - (1/100)×((h - 10) + (h - 20)

+(h - 30) + - + (h - 110))

Substitution of h = 113

Consignments packed = 270 approx

Hope this helps❤