Question 62 ONC04 - Mate of LT 500-1600 GRT

The Correct Answer is C ### 1. Explanation for Option C (0910 the next day) To determine the approximate finishing time, we must first calculate the loading rate and then the total time required for the remaining cargo. **Step 1: Calculate the Loading Rate (Barrels per Hour - BPH)** * **Time interval:** From 0900 to 1030 is 1 hour and 30 minutes, or 1.5 hours. * **Cargo loaded in interval:** $223,000 \text{ barrels} - 207,000 \text{ barrels} = 16,000 \text{ barrels}$. * **Rate:** $16,000 \text{ barrels} / 1.5 \text{ hours} = 10,666.67 \text{ BPH}$ (or $10,666 \frac{2}{3} \text{ BPH}$). **Step 2: Calculate the Remaining Cargo** * **Total required:** 465,000 barrels. * **Loaded at 1030:** 223,000 barrels. * **Remaining cargo:** $465,000 \text{ barrels} - 223,000 \text{ barrels} = 242,000 \text{ barrels}$. **Step 3: Calculate the Time Needed to Finish** * **Time (T) = Remaining Cargo / Rate** * $T = 242,000 \text{ barrels} / 10,666.67 \text{ BPH}$ * $T \approx 22.6875 \text{ hours}$. **Step 4: Convert Time to Clock Time** We start the calculation from 1030 (Day 1). * Convert the decimal hours to minutes: $0.6875 \text{ hours} \times 60 \text{ minutes/hour} \approx 41.25 \text{ minutes}$. * Total time needed: 22 hours and 41 minutes. * $1030 (\text{Day } 1) + 22 \text{ hours} = 0830 (\text{Day } 2)$. * $0830 (\text{Day } 2) + 41 \text{ minutes} = 0911 (\text{Day } 2)$. The loading will finish at approximately 0911 the next day, which corresponds to **0910 the next day (Option C)**. --- ### 2. Explanation of Incorrect Options **A) 2100 that night** This implies a total loading time of only 10 hours 30 minutes from 1030 (Day 1) to 2100 (Day 1). Since the calculated time required is approximately 22 hours and 41 minutes, this time frame is far too short to complete the remaining 242,000 barrels. **B) 0730 the next day** This implies a total loading time of 21 hours from 1030 (Day 1). While closer than Option A, it is still about 1 hour and 40 minutes short of the required 22 hours and 41 minutes. The cargo would not be completed by 0730. **D) 1215 the next day** This implies a total loading time of 25 hours and 45 minutes from 1030 (Day 1). This is significantly longer than the required 22 hours and 41 minutes. If the vessel loaded for this length of time, it would exceed the required 465,000 barrels (or necessitate slowing the rate down, contradicting the premise of loading at the "same rate").