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Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?
- a)12:30 at nights, after 130 days
- b)12 noon, after 135 days
- c)1:30 at nights, after 130 days
- d)12 midnight, after 135 days
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 mi...
After 12 days, i.e., after 12 × 24 hours clock A will gain 48 minutes and will show 12 : 48 noon.
After 12 days, i.e., after 12 × 24 hours clock B will loose 16 minutes and will show 11 : 44 am
The two clocks will show the same time after time after 135 days.
The time difference has to be 12 hours between then = 720 minutes.
A will gain 540 minutes in 135 days.
B will loose 180 minutes in 135 days, total 720 minutes.
Further if we consider only time then the problem becomes simpler
Total difference of minutes between the times shown by the clocks after 36 hours
∴ 12 noon, after 135 days
After 12 days, i.e., after 12 × 24 hours clock B will loose 16 minutes and will show 11 : 44 am
The two clocks will show the same time after time after 135 days.
The time difference has to be 12 hours between then = 720 minutes.
A will gain 540 minutes in 135 days.
B will loose 180 minutes in 135 days, total 720 minutes.
Further if we consider only time then the problem becomes simpler
Total difference of minutes between the times shown by the clocks after 36 hours
∴ 12 noon, after 135 days
Community Answer
Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 mi...
To find the correct time when both clocks will show the same time next, we need to determine the time difference between the two clocks and calculate when this time difference will be equal to zero.
Let's break down the information given:
Wall clock:
- Gains 2 minutes in 12 hours
Table clock:
- Loses 2 minutes every 36 hours
We can determine the time difference between the two clocks by finding the least common multiple (LCM) of the time intervals in which the clocks gain or lose time. The LCM of 12 and 36 is 36.
This means that after 36 hours, the wall clock will have gained 6 minutes (2 minutes every 12 hours for a total of 3 times) and the table clock will have lost 2 minutes (2 minutes every 36 hours for a total of 1 time).
So, after 36 hours, the time difference between the two clocks will be 6 minutes - 2 minutes = 4 minutes.
Now, we need to determine how many times this time difference will occur before it becomes zero.
The time difference of 4 minutes occurs every 36 hours. Therefore, we need to find how many times 36 hours can fit into 135 days (the options given).
Calculation:
1 day = 24 hours
135 days = 135 x 24 = 3240 hours
Number of occurrences of the time difference:
3240 hours / 36 hours = 90
So, the time difference of 4 minutes will occur 90 times within 135 days.
Now, we need to calculate the time it will take for the clocks to show the same time again.
Since the time difference is 4 minutes and the table clock loses 2 minutes every 36 hours, it will take the table clock 2 x 90 = 180 hours to reach a time difference of 0 minutes.
Therefore, the correct time when both clocks will show the same time next will be 180 hours after 12 noon on Tuesday.
Conversion:
180 hours = 7 days and 12 hours
So, the correct time will be 12 noon on the following Tuesday, which is 135 days after the initial setting of the clocks.
Thus, the correct answer is option B: 12 noon, after 135 days.
Let's break down the information given:
Wall clock:
- Gains 2 minutes in 12 hours
Table clock:
- Loses 2 minutes every 36 hours
We can determine the time difference between the two clocks by finding the least common multiple (LCM) of the time intervals in which the clocks gain or lose time. The LCM of 12 and 36 is 36.
This means that after 36 hours, the wall clock will have gained 6 minutes (2 minutes every 12 hours for a total of 3 times) and the table clock will have lost 2 minutes (2 minutes every 36 hours for a total of 1 time).
So, after 36 hours, the time difference between the two clocks will be 6 minutes - 2 minutes = 4 minutes.
Now, we need to determine how many times this time difference will occur before it becomes zero.
The time difference of 4 minutes occurs every 36 hours. Therefore, we need to find how many times 36 hours can fit into 135 days (the options given).
Calculation:
1 day = 24 hours
135 days = 135 x 24 = 3240 hours
Number of occurrences of the time difference:
3240 hours / 36 hours = 90
So, the time difference of 4 minutes will occur 90 times within 135 days.
Now, we need to calculate the time it will take for the clocks to show the same time again.
Since the time difference is 4 minutes and the table clock loses 2 minutes every 36 hours, it will take the table clock 2 x 90 = 180 hours to reach a time difference of 0 minutes.
Therefore, the correct time when both clocks will show the same time next will be 180 hours after 12 noon on Tuesday.
Conversion:
180 hours = 7 days and 12 hours
So, the correct time will be 12 noon on the following Tuesday, which is 135 days after the initial setting of the clocks.
Thus, the correct answer is option B: 12 noon, after 135 days.
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Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?a)12:30 at nights, after 130 daysb)12 noon, after 135 daysc)1:30 at nights, after 130 daysd)12 midnight, after 135 daysCorrect answer is option 'B'. Can you explain this answer?
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Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?a)12:30 at nights, after 130 daysb)12 noon, after 135 daysc)1:30 at nights, after 130 daysd)12 midnight, after 135 daysCorrect answer is option 'B'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?a)12:30 at nights, after 130 daysb)12 noon, after 135 daysc)1:30 at nights, after 130 daysd)12 midnight, after 135 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?a)12:30 at nights, after 130 daysb)12 noon, after 135 daysc)1:30 at nights, after 130 daysd)12 midnight, after 135 daysCorrect answer is option 'B'. Can you explain this answer?.
Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?a)12:30 at nights, after 130 daysb)12 noon, after 135 daysc)1:30 at nights, after 130 daysd)12 midnight, after 135 daysCorrect answer is option 'B'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?a)12:30 at nights, after 130 daysb)12 noon, after 135 daysc)1:30 at nights, after 130 daysd)12 midnight, after 135 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?a)12:30 at nights, after 130 daysb)12 noon, after 135 daysc)1:30 at nights, after 130 daysd)12 midnight, after 135 daysCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?a)12:30 at nights, after 130 daysb)12 noon, after 135 daysc)1:30 at nights, after 130 daysd)12 midnight, after 135 daysCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 5.
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ample number of questions to practice Wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be = ?a)12:30 at nights, after 130 daysb)12 noon, after 135 daysc)1:30 at nights, after 130 daysd)12 midnight, after 135 daysCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 5 tests.
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