Question : 42 boys can complete a piece of work in 20 days working 8 hours per day. In how many days can 14 boys complete the same work, each boy working 12 hours per day?
Option 1: 39 days
Option 2: 40 days
Option 3: 41 days
Option 4: 42 days
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Correct Answer: 40 days
Solution : Let the number of days be $D$ for 14 boys working 12 hours per day. Use the formula: $M_1D_1H_1= M_2D_2H_2$ Where $M_1$ and $M_2$ are persons, $D_1$ and $D_2$ are days and $H_1, H_2$ are hours per day. ⇒ 42 × 20 × 8 = 14 × D × 12 ⇒ $D$ = 40 Hence, the correct answer is 40 days.
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Question : Working 12 hours per day, Raj can complete a work in 12 days. How many hours per day he should work to finish the same work in 9 days?
Option 1: 20 hours
Option 2: 24 hours
Option 3: 12 hours
Option 4: 16 hours
Question : If 20 men can complete a piece of work in 18 days working 5 hours per day, in how many days can 25 men complete it, working 6 hours per day?
Option 1: 10 days
Option 2: 13 days
Option 3: 11 days
Option 4: 12 days
Question : 12 men can complete a work in 6 days working 4 hours per day. If 4 men work 8 hours per day, then in how many days the same work will be completed?
Option 1: 8 days
Option 2: 6 days
Option 3: 9 days
Option 4: 10 days
Question : 14 workers working 16 hours per day can demolish a building in 81 days. In how many days 18 workers working 24 hours per day can demolish the same building?
Option 1: 54 days
Option 2: 42 days
Option 3: 70 days
Option 4: 30 days
Question : 22 boys, working together, can complete a work in 10 days, whereas 25 boys and 12 girls take 8 days to complete the same work. In how many days can only 6 girls, working together, complete the same work?
Option 1: 170
Option 2: 177
Option 3: 175
Option 4: 176
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