If 12 men can do a job in 7 days, what fraction of the job can be done

1.	If 12 men can do a job in 7 days, what fraction of the job can be done by one man in one day?1. \( {1\over 14}\)2. \({7\over 12}\)3. \({1\over 84}\)4. \({1 \over 72}\)
Answer» Correct Answer - Option 3 : \({1\over 84}\) Given: 12 men can complete a job in 7 days Formula used: (Men₁ × days₁ × hours₁)/work₁ = (Men₂ × days₂ × hours₂)/work₂ Calculation: Let w be the work done by 1 man in one day (12 × 7)/1 = (1 × 1)/ w ⇒ 84 = 1/w ⇒ w = 1/84 ∴ One man can do 1/84 part of job in one day

If 12 men can do a job in 7 days, what fraction of the job can be done by one man in one day?1. \( {1\over 14}\)2. \({7\over 12}\)3. \({1\over 84}\)4. \({1 \over 72}\)

Answer» Correct Answer - Option 3 : \({1\over 84}\)

Given:

12 men can complete a job in 7 days

Formula used:

(Men₁ × days₁ × hours₁)/work₁ = (Men₂ × days₂ × hours₂)/work₂

Calculation:

Let w be the work done by 1 man in one day

(12 × 7)/1 = (1 × 1)/ w

⇒ 84 = 1/w

⇒ w = 1/84

∴ One man can do 1/84 part of job in one day

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If 12 men can do a job in 7 days, what fraction of the job can be done by one man in one day?1. \( {1\over 14}\)2. \({7\over 12}\)3. \({1\over 84}\)4. \({1 \over 72}\)

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