50 men complete a work in 60 days by working daily for 6 hours. Then in how many days
will 75 men do the work by engaging themselves 8 hours per day?
direct and indirect variation
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- 50 men complete a work in 60 days by working daily for 6 hours
- 75 men work daily for 8 hours
- Days required for 75 men to do the work by engaging themselves 8 hours per day
Let the number of days required for 75 men be "x"
Case I [ With 50 men ]
Firstly let us calculate the total work
Number of days × Number of hours worked in 1 day × Number of men involved
➜ 60 × 6 × 50
➜ 300 × 60
➜ 18000 units ⚊⚊⚊⚊ ⓵
Case II [ With 75 men ]
Number of days × Number of hours worked in 1 day × Number of men involved
➜ x × 8 × 75
➜ 600 × x
➜ 600x units ⚊⚊⚊⚊ ⓶
As in both cases the total work will remain same
So ,
Equation ⓵ = Equation ⓶
➜ 600x = 18000
➜ 6x = 180
➨ x = 30
- Hence 75 men working for 8 hours daily will complete the work in 30 days
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