Mining Methods and Machinery · Mining Machinery · 2 marks · Numerical answer
A dumper spends 3 min at loading and 1 min unloading. Stations are 4.5 km apart; loaded speed is 12 km/hour and empty speed 18 km/hour. Find the minimum fleet that avoids shovel idle time, as an integer.
Loaded travel takes 4.5/12×60=22.5 min and empty travel 15 min. Complete dumper cycle is 3+22.5+1+15=41.5 min. The shovel supplies one dumper every 3 min, so fleet requirement is 41.5/3=13.833. Round upward to 14 dumpers to maintain uninterrupted loading.
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