Question

In a factory 150 workers where ingage to finish a pice of work in a surtain number of day how where if 4 are every day accept the first day it will take 8 more day to finished the work find the number of day in which work was to be complited

Answer 1

Answer:

Step-by-step explanation:

let the work be complete in x days

The work should have been complete by x-8 days.

Total man-days= 150(x-8)

As four worker drop on each day

The total work days are 150,150-4, 150-8..... 150-(x-1)4

These are in arithmetic progression where

                                         a1=150  d= - 4 and n=x

so total working man-days= x(2a1-4(x-1))/2

                                            = x(300-4x+4)/2

Then we have 150(x-8)=x(304-4x)/2

• 300x-2400= 304x-4x²

• 75x-600=76x-x²

• x² -x -600=0

• (x-25)(x+24)=0

solving we have x=25

The work was complete in 25 days.

Answer 2

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