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Time and Work
A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?
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- lets assume x man decided to do a job in 8 days
8x = x + x-10 + x-20 + ....x-110
8x =-660+12x
4x =660
x=165(ans) - 11 years agoHelpfull: Yes(45) No(6)
- @Parag Kamra Since men dropped out every day i think the very first also 10 men are dropped so we should start from x-10 .............x-120
So x=195
Please Correct me if i am wrong - 11 years agoHelpfull: Yes(3) No(10)
- @parag Kamra-u r ryt
@tanu-Ist day the whole workers remain!! 10 are reduced after ist day n so on - 11 years agoHelpfull: Yes(3) No(0)
- 8x = x + x-10 + x-20 + ....x-110
8x =-660+12x
4x =660
Solving we get x= 165 - 11 years agoHelpfull: Yes(3) No(2)
- @Himalya Makkad Ok thanks But still in the question nowhere it is written that the men are reduced after first day....ok leave
- 11 years agoHelpfull: Yes(2) No(2)
- Let the number of men in the beginning = a.
Therefore time taken by 1 man to do whole of the work = 8a days
Because 10 men are dropping everyday and the work finishes in 12 day, time taken by 1 man to do whole of the work = [a + (a – 10) + (1 – 20) + (a - 30) + (a -40) + (a – 50) + (a -60) + (a -70) + (a- 80) + (a – 90) + (a – 100) + (a -110)] days.
Therefore 8a = a + (a – 10) + (a – 20) + (a - 30) + (a -40) + (a – 50) + (a -60) + (a -70) + (a- 80) + (a – 90) + (a – 100) + (a -110)
8a = 12a – 660
a = 660/4 = 165
so answer is 165. - 9 years agoHelpfull: Yes(2) No(0)
- for the last 11 day's there are ( 11*10) mens are dropped out from the work.
if in 8 days the job can be done by 110 mens then
in 12 days mens re - 9 years agoHelpfull: Yes(1) No(0)
- 140 at the starting...
- 11 years agoHelpfull: Yes(0) No(7)
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