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Ratio & Proportion · Question 46 of 67

Question 46

MediumOriginal question

Twelve workers, working 8 hours a day, finish laying a road in 15 days. How many days will 18 workers take for the same job if they work 10 hours a day?

Options for question 46

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Total work = 12×8×15=1,44012 \times 8 \times 15 = 1{,}440 worker-hours.

  2. 18 workers × 10 hours = 180 worker-hours per day.

  3. Days = 1,440÷180=81{,}440 \div 180 = 8.

Worth noting

10 days ignores the change in daily hours; 28.125 treats every quantity as directly proportional.

Concept
Workers × hours × days is constant for a fixed job
Typical time
70 s
Your time
—
The rule this testsDirect and inverse variation
Practise this chapter →

Ten questions from Ratio & Proportion, at your own pace.

Practise this chapter →

Ten questions from Ratio & Proportion, at your own pace.