rtaha2412 wrote:
A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. (Assume the crew does not work on any rainy day and rain is the only factor that can deter the crew from working). However, on the 61-st day, after 5 days of rain, he hired 6 more people and finished the project early. If the job was done in 100 days, how many days after day 60 had rain?
A. 4
B. 5
C. 6
D. 7
E. 8
10 men worked for 55 days.
It rained from 56th to 60th day.
On 61st day, he hired 6 more people, making total 16 people working.
Since 10 men can complete total work in 110 days, they must have completed 1/2 work in first 55 days.
From day 61 he had 16 workers working in remaining 1/2 work.
Now, if 10 workers take 55 days to complete 1/2 work, 16 workers take 55*10/16= 34.3 days (34 days + next day= 35 days)
But its given that they finished the work in 40 days (61st to 100th day). Hence they did not work on 40-35= 5 days
B is the answer
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