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Ratio & Proportion · Question 41 of 67

Question 41

EasyOriginal question

Eight painters can paint a school building in 15 days. How many days will 12 painters take, working at the same rate?

Options for question 41

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. More painters means fewer days, so this is inverse variation: painters × days stays constant.

  2. 8×15=1208 \times 15 = 120 painter-days, so 12 painters need 120÷12=10120 \div 12 = 10 days.

Worth noting

22.5 treats it as direct variation (15×12÷8)(15 \times 12 \div 8).

Concept
Inverse variation with workers and days
Typical time
35 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.