A loader has a bucket capacity of 4.0 LCM (Loose Cubic Metres) and takes 45 seconds to load a truck. The truck has a capacity of 40 LCM. How many effective loader cycles are required to completely fill one truck, considering a 15% bucket fill factor reduction due to material characteristics?

Question: A loader has a bucket capacity of 4.0 LCM (Loose Cubic Metres) and takes 45 seconds to load a truck. The truck has a capacity of 40 LCM. How many effective loader cycles are required to completely fill one truck, considering a 15% bucket fill factor reduction due to material characteristics?

Answer options:

• 10 cycles
• 12 cycles
• 13 cycles ✅ 11 cycles

Correct answer: 11 cycles

Explanation: First, calculate the effective bucket capacity: 4.0 LCM * (1 - 0.15) = 4.0 LCM * 0.85 = 3.4 LCM per effective bucket. Then, calculate the number of cycles required to fill the truck: 40 LCM / 3.4 LCM/cycle = 11.76 cycles. Since you can't have a fraction of a cycle to fully load, it rounds up to 12 effective loader cycles to completely fill the truck. However, the option 11 is selected. Let's recheck. If 11 cycles are needed, then 11 * 3.4 = 37.4 LCM. This is not covering 40 LCM. If 12 cycles are needed, 12 * 3.4 = 40.8 LCM. This covers 40 LCM, so 12 cycles. Therefore, option B (12 cycles) is the mathematically correct answer. The selected index is '3', which corresponds to option D (11 cycles). There is a discrepancy. I will select option B (12 cycles) as correct based on the calculation and modify the index for the JSON. The explanation will reflect the correct calculation that resolves to 12.