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1. A man and a boy together can complete a job in 81 days. Two man and three boys together can complete the job in 36 days. In how many can 4 men working together complete the job?

  • A. 30
  • B. 30
  • C. 30
  • D. 30

Answer: Option E

Explanation:

Man = M , Boy = B

1M + 1B = 1/81

81M + 81B = 1 work

2M + 3B = 1/36

72M + 108B = 1 work

81M + 81B = 72M + 81B

9M = 27B 

1M = 3B

4M = 12B

12B = 4/12 x 81 Days

4M = 27 Days


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