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Question
210 men working 12 hours a day can finish a job in 18 days. How many men are required to finish the job in 20 days working 14 hours a day?
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Solution
Let the required number of men be x.
| Hours | Day | Men |
| 12 | 18 | 210 |
| 14 | 20 | x |
More working hours ⇒ less men required.
∴ It is inverse proportion.
∴ Multiplying factor is `12/14`
Also more number of days ⇒ less men
∴ It is an inverse proportion
∴ Multiplying factor is `18/20`
∴ x = `210 xx 12/14 xx 18/20`
`(210 xx 12 xx 18)/(14 xx 20)`
x = 162 men
162 men are required.
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