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Basile [38]
3 years ago
13

A contractor estimated that his 10-men crew could complete the construction in 110 days if there was no rain. (Assume the crew d

oes not work on any rainy day and rain is the only factor that can deter the crew from working). However, after 5 days of rain, on the 61-st day, he hired 6 more people to finish the project early. If the job was done in 100 days, on how many days after day 60 was it raining?(A) 4(B) 5(C) 6(D) 7(E) 8
Business
1 answer:
Pepsi [2]3 years ago
8 0

Answer:

option (B) 5

Explanation:

Given:

Estimated number of men required if no rain = 10

Number of days required in there is no rain = 110

Number of days with rain = 5

Number of people hired after the 61st day = 6

Therefore,

Total man-days required = 10 × 110 = 1100

Total Man-days before 61st day

= (60 days - number of days with rain ) × Initial number of men

= ( 60 - 5 ) × 10

= 550

let the number of days it rained after day 60 be 'n'

Thus,

Man-days worked after 61st day

= Total number of men after 61st day × ( 100 days - 60 days - x )

=  16 × (40 - n)

also,

Total man-days required = Total Man-days before 61st day + Man-days worked after 61st day

or

1,100 = 550 + 16 × ( 40 - n )

or

550 = 640 - 16n

or

n = 5.625

therefore,

It rained for 5 days

option (B) 5

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