A laser-controlled land leveller operates in a $1.0\text{ ha}$ ($100\text{ m} \times 100\text{ m}$) field. Topographical survey indicates a total cut volume of $350\text{ m}^3$. The scraper bucket has a capacity of $1.75\text{ m}^3$ per trip and an average cycle time of $3.0\text{ minutes}$ per trip (including cutting, hauling, dumping, and returning). Neglecting soil swell and operating delays, the total machine time required to complete the earth-moving operation in $\text{hours}$ is ________ (answer in integer).
Answer Key:
10
Step-by-Step Solution & Explanation
```
Laser Leveller Earthmoving Logistics:
Total Volume: V = 350 m^3
Bucket Capacity: C = 1.75 m^3
Cycle Time: t = 3.0 min
```
**Step-by-step Calculation:**
1. Total number of scraper bucket trips required:
$N_{\text{trips}} = \frac{\text{Total Cut Volume}}{\text{Bucket Capacity}} = \frac{350\text{ m}^3}{1.75\text{ m}^3} = 200\text{ trips}$
2. Total time required in minutes:
$T_{\text{min}} = N_{\text{trips}} \times 3.0\text{ min/trip} = 200 \times 3.0 = 600\text{ minutes}$
3. Total time in hours:
$T_{\text{hours}} = \frac{600}{60} = 10\text{ hours}$