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Two diamond mining machines each working 12 hours per day for 8 days handles 9 tons on diamond with an efficiency of 90%. While 3 other diamond mining machines at an efficiency of 80% set to handle 12 tons of coal in 6 days. How many hours per day each should work?

Two diamond mining machines each working 12 hours per day for 8 days handles 9 tons on diamond with an efficiency of 90%. While 3 other diamond mining machines at an efficiency of 80% set to handle 12 tons of coal in 6 days. How many hours per day each should work? Correct Answer 16 hours

Calculation:

By Chain Rule:

(N1 × D1 × H1 × E1)/W1 = (N2 × D2 × H2 × E2)/W2

⇒ (2 × 8 × 12 × 90)/9 = (3 × 6 × H2 × 80)/12

⇒ 1920 = 120 × H2

⇒ H2 = 1920/120

⇒ H2 = 16 hours

∴ Each should work for 16 hours per day.

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