150 workers were engaged to finish a job in a certain number of days. 4 workers dropped out on second day, 4 more workers dropped out on third day and so on. It took 8 more days to finish the work. Find the number of days in which the work was completed.

Question

dls · Answer

Did you try it?

anonymous · Answer

I did try it, honestly!

but, i'm just not getting the right idea about how to do it! :'(

dls · Answer

Okay,
Let work was to be finished in n days and a labour works K hours per day/one day.
Then what is the numerical value or required  human hours for the work to be done?

anonymous · Answer

Hm.. the no. of workers x time taken by all of them 

here - 150x

dls · Answer

no..i want in variable terms,try gain

anonymous · Answer

nK .. ?

dls · Answer

150nK

anonymous · Answer

Eh? :(

dls · Answer

gt it?

dls · Answer

did you get it?

anonymous · Answer

Noo! Please explain , how did u get it ! 

i'm sorry to bug you! :P

dls · Answer

1person works n days k hours 
150 persons work 150nK :o
unitary method,which grade are u in ?  :p

anonymous · Answer

Haha, LOL! I feel s stupid right now!
I didn't see that "n days k hrs" thing properly! :P 

Anyways, that portion is clear now :P 
Next?

dls · Answer

so form the equation like ques says..
150nk=150k+146k+142k.....this takes n+8 days

dls · Answer

now use the formula for sum of an arithmetic series and tell me

dls · Answer

you have n as n+8 u have "a" u have "d" !