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Time & Work · Question 38 of 61

Question 38

MediumOriginal question

A contractor estimates that 45 workers will finish a metro-station floor in 32 days. If he hires 60 workers instead, how many days earlier will the floor be finished?

8 daysCorrect answerYour answer15 daysCorrect answerYour answer24 daysCorrect answerYour answer

42\frac{2}{3}

daysCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Total work = $45 \times 32 = 1440$ worker-days.
With 60 workers: $1440 \div 60 = 24$ days.
Days saved = $32 - 24 = 8$ days.

Worth noting

24 days is the new time, not the saving. The question asks how many days EARLIER.

Concept: M₁D₁ = M₂D₂ applied to a time saving
Typical timeTypical: 70 s
Your timeYours: —

The rule this testsEfficiency and wages

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