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An antique grandfather's clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?
- a)11 p.m, Wednesday
- b)11 p.m. 32 minutes, Thursday
- c)11 p.m. 40 minutes, Wednesday
- d)11 p.m. 28 minutes, Thursday
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An antique grandfathers clock, which gains uniformly, is 10 minutes sl...
Introduction:
The antique grandfather clock gains uniformly, meaning it gains time at a constant rate. We are given two data points - the clock is 10 minutes slow at 9:00 a.m. on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. We need to determine when the clock was correct.
Analysis:
Let's first calculate the time difference between Monday morning and Monday evening. We know that the clock gains uniformly, so we can assume that it gains time at a constant rate throughout the day.
1. Time difference between Monday morning and Monday evening:
- The clock is 10 minutes slow at 9:00 a.m.
- The clock is 10 minutes 48 seconds fast at 9:00 p.m.
- The time elapsed between 9:00 a.m. and 9:00 p.m. is 12 hours.
- The clock gained (10 minutes + 10 minutes 48 seconds) = (648 + 648) seconds in 12 hours.
- Therefore, the clock gained (648 + 648) / 12 = 108 seconds per hour.
2. Now, let's find out the time it takes for the clock to gain 10 minutes (600 seconds):
- The clock gains 108 seconds per hour.
- It needs to gain 600 seconds.
- Therefore, it will take 600 / 108 = 5.5555 hours.
Calculation:
To determine when the clock was correct, we need to add the time it takes for the clock to gain 10 minutes to the initial time of 9:00 a.m. on Monday.
- 9:00 a.m. + 5.5555 hours = 2:33 p.m.
- Therefore, the clock was correct at 2:33 p.m.
Answer:
Based on the given information, the clock was correct at 2:33 p.m.
The antique grandfather clock gains uniformly, meaning it gains time at a constant rate. We are given two data points - the clock is 10 minutes slow at 9:00 a.m. on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. We need to determine when the clock was correct.
Analysis:
Let's first calculate the time difference between Monday morning and Monday evening. We know that the clock gains uniformly, so we can assume that it gains time at a constant rate throughout the day.
1. Time difference between Monday morning and Monday evening:
- The clock is 10 minutes slow at 9:00 a.m.
- The clock is 10 minutes 48 seconds fast at 9:00 p.m.
- The time elapsed between 9:00 a.m. and 9:00 p.m. is 12 hours.
- The clock gained (10 minutes + 10 minutes 48 seconds) = (648 + 648) seconds in 12 hours.
- Therefore, the clock gained (648 + 648) / 12 = 108 seconds per hour.
2. Now, let's find out the time it takes for the clock to gain 10 minutes (600 seconds):
- The clock gains 108 seconds per hour.
- It needs to gain 600 seconds.
- Therefore, it will take 600 / 108 = 5.5555 hours.
Calculation:
To determine when the clock was correct, we need to add the time it takes for the clock to gain 10 minutes to the initial time of 9:00 a.m. on Monday.
- 9:00 a.m. + 5.5555 hours = 2:33 p.m.
- Therefore, the clock was correct at 2:33 p.m.
Answer:
Based on the given information, the clock was correct at 2:33 p.m.
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An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer?
Question Description
An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer?.
An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer?.
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An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of An antique grandfathers clock, which gains uniformly, is 10 minutes slow at 9:00 a.m. in the morning on Monday and 10 minutes 48 seconds fast at 9:00 p.m. on the following Monday. When was it correct?a)11 p.m, Wednesdayb)11 p.m. 32 minutes, Thursdayc)11 p.m. 40 minutes, Wednesdayd)11 p.m. 28 minutes, ThursdayCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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