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 worker after 10 hours. Then the number of consignments that would be
packed in the initial 113 hours is

Answer 1

Answer:

270 consignments

Step-by-step explanation:

20 workers can pack 1 consignment in 5 hours  = (1/5)

1 worker can pack 1 consignment in 100 hours  = (1/100)

4 workers can pack 1 consignment in 25 hours  = (1/25)

Consignments packed as a function of h (hours) will be written based on the above given statements.

Thus,

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

Substituting h = 113 in the above equation

Consignments packed = 270 approx

Thus, the number of consignments that will be packed in the initial 113 hours is 270