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1). 502). 403). 454). 10 |
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Answer» Let n be the NUMBER of workers and x be the work done by 1 worker in 1 day ∴ According to the 1st condition, ⇒ nx + (n - 1)x + (n - 2)x + … + x = 1 ∴ x × n(n + 1)/2 = 1 ∴ x × n(n + 1) = 2- - - - - (1) Also According to the 2nd given condition, (55n/100) × nx = 1 ∴ x = 20/(11 × n × n)- - - - - (2) On substituting (2) in (1) we get, 20/11n2 × (n2 + n) = 2 (n2 + n)/n2 = 11/10 1 + 1/n = 11/10 ∴ n = 10 ∴ There are 10 workers in the group. |
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