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GATE 2024 MN – Question 28

Mining Methods and Machinery · Mining Machinery · 1 mark · Numerical answer

The crusher’s 24-hour activity timeline is shown. Find utilisation in percent to two decimals, using available hours as the denominator.

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Correct answer: 85.00 to 86.00

Explanation

The timeline has 3 idle hours (0–1, 8–9 and 16–17), 2 breakdown hours (6–7 and 19–20), and 1 maintenance hour (23–24). Working time is therefore 24−3−2−1 = 18 hours. Available time excludes breakdown and maintenance: 24−2−1 = 21 hours. Utilisation is working time divided by available time, 18/21 × 100 = 85.71%.

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