There are three trucks A, B, C. A loads 10 kg/min. B loads 13 1/3 kg/min. C unloads 5 kg/min. If three simultaneously works then what is the time taken to load 2.4 tones?
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Answer Posted / Mohd Rizwan
First, we need to convert the weights into a common unit: 1 tone = 1000 kg. So, the total weight to be loaded is 2.4 * 1000 = 2400 kg. Let x be the time taken for all three trucks to load this amount. Truck A loads at a rate of 10 kg/min, so it contributes 10x kg in that time. Similarly, truck B loads at a rate of (13 1/3) * (1/60) = (26/20) kg/min, contributing (26/20)x kg. Truck C unloads at a rate of 5 kg/min, so it takes away 5x kg in that time. Since the net weight being loaded is 2400 kg, we can write the equation: (10 + (26/20) - 5)x = 2400, solving for x gives us x = 2400 * (10 + (26/20) - 5) / (10 * 26/20) = 7.2 hours approximately.
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