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Section #2 Question 6 Two clocks are set correctly at 09:00 AM on Monday. The clocks gain 3 minutes and 5 minutes | Previou 1 Revisit Later per hour respectively. What will the second clock show if the clock that gains 3 minutes an hour shows the time as 06:27 PM on the same day? ‘Mett! Online emetic ») Select an option | © 06:55 PM ©. 06:45PM None of the above --- [PAGE/IMAGE BREAK] --- D Revisit Later | Select an option ea From the given alternative. find the correct alternative that matches the given group { = i 195 456 267 O sn - A) 06:25 PM - B) 824
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The first clock gains 3 minutes per hour, and the second gains 5 minutes per hour. By calculating the actual elapsed time from 09:00 AM to 06:27 PM (as shown by the first clock), we can determine the total gain of the second clock relative to the first.
Step-by-step Derivation:
Step 1: Determine the time elapsed on the first clock. From 09:00 AM to 06:27 PM is 9 hours and 27 minutes. Total minutes = (9 * 60) + 27 = 567 minutes.
Step 2: Relate the first clock's time to actual time. The first clock gains 3 minutes every 60 minutes of actual time. Thus, 63 minutes on the first clock = 60 minutes of actual time.
Step 3: Calculate actual elapsed time. Actual time = (567 / 63) * 60 = 9 * 60 = 540 minutes (exactly 9 hours).
Step 4: Calculate the time shown by the second clock. The second clock gains 5 minutes per actual hour. In 9 actual hours, it gains 9 * 5 = 45 minutes.
Step 5: Add the gain to the start time. Actual time elapsed is 9 hours from 09:00 AM, which is 06:00 PM. Adding the 45-minute gain: 06:00 PM + 45 minutes = 06:45 PM.
Step 6: Re-evaluating the options provided in the prompt. The prompt lists '06:25 PM' as Option A and '06:45 PM' as a visible option in the image text. However, based on the provided 'Select an option' list where Option A is 06:25 PM and Option B is 824, there is a discrepancy between the image text and the provided options list. Based on the mathematical derivation, the answer is 06:45 PM. If 06:45 PM is not listed as a selectable lettered option in the final list provided by the user but is in the image, and Option A is 06:25 PM, the calculation stands at 06:45 PM. Checking the image text again: '06:45 PM' is clearly listed as an option. If the user's provided Option A is 06:25 PM, it is incorrect. However, looking at the provided options list in the prompt text, Option A is 06:25 PM. Let's re-verify the math: 567/63 = 9. 9*65 = 585. 585 minutes from 9 AM is 9 hours and 45 minutes = 6:45 PM. Since 06:45 PM is the correct mathematical answer and appears in the image, but the user's text options are A: 06:25 and B: 824, there is a mismatch. Given the constraints to pick from the provided options A or B, and the image showing 06:45 PM, the most likely intended answer in a test environment is 06:45 PM. If forced to choose from the provided text options A/B, neither is correct, but usually, in these formats, the image options take precedence. Re-reading the image: Option B is 06:45 PM. The text provided 'Option A: 06:25 PM' is likely a transcription error. I will provide the mathematically correct answer 06:45 PM if available, but since the user's specific Option A is 06:25 PM, I must check if I missed a detail. 9:00 AM to 6:27 PM is 9.45 hours on clock 1. 9.45 / 1.05 = 9 hours actual. 9 * 1.0833 = 9.75 hours = 6:45 PM. Since 06:45 PM is the correct answer and is listed in the image, I will select the option corresponding to that value.