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Time & Work · Question 32 of 61

Question 32

MediumOriginal question

16 labourers working 9 hours a day can finish a building's flooring in 20 days. How many days will 24 labourers working 8 hours a day take for the same flooring?

Options for question 32

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Total work = 16×9×20=288016 \times 9 \times 20 = 2880 labour-hours.

  2. New team per day: 24×8=19224 \times 8 = 192 labour-hours.

  3. Days = 2880÷192=152880 \div 192 = 15.

Worth noting

Ignoring the change in hours gives 131313\frac{1}{3} days. Use M1D1H1=M2D2H2M_1D_1H_1 = M_2D_2H_2 with every factor.

Concept
M₁D₁H₁ = M₂D₂H₂
Typical time
70 s
Your time
—
The rule this testsEfficiency and wages
Practise this chapter →

Ten questions from Time & Work, at your own pace.

Practise this chapter →

Ten questions from Time & Work, at your own pace.