8 machines can do a piece of work in 10 days. How long will it take 16 machines to do the work?
Maths / Time, Speed and Distance MCQs — Multiple-choice practice
مشینیں 10 دن میں ایک کام کر سکتی ہیں۔ 16 مشینوں کو کام کرنے میں کتنا وقت لگے گا؟
- A. 05 days
- B. 09 days
- C. None of these
- D. 07 days
Correct answer
05 days
Explanation
Explanation Let: M1 = Number of machines in the first case = 8 D1 = Number of days taken in the first case = 10 M2 = Number of machines in the second case = 16 D2 = Number of days taken in th e second case =? The formula for inverse proportion is: M1 * D1 = M2 * D2 Substitute the values: 8 * 10 = 16 * D2 80 = 16 * D2 To find D2, divide both sides by 16: D2 = 80 / 16 D2 = 5 So, it will take 16 machines 5 days to do the work.
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