Ratios and Proportional Relationships [closed]
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Three $24$ hour clocks show the time to be $12$ noon. One of the clocks is always correct, one looses a minute every $24$ hours, and one gains a minute every $24$ hours.
How many days will pass before all three clocks show the correct time again?
calculus
edited Aug 24 at 0:34
Key Flex
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asked Aug 24 at 0:15
Nereyda Lozano
91
closed as off-topic by Isaac Browne, Xander Henderson, Jendrik Stelzner, Eric Wofsey, user91500 Aug 24 at 6:03
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Isaac Browne, Xander Henderson, Jendrik Stelzner, Eric Wofsey, user91500
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Three $24$ hour clocks show the time to be $12$ noon. One of the clocks is always correct, one looses a minute every $24$ hours, and one gains a minute every $24$ hours.
How many days will pass before all three clocks show the correct time again?
calculus
edited Aug 24 at 0:34
Key Flex
1
asked Aug 24 at 0:15
Nereyda Lozano
91
closed as off-topic by Isaac Browne, Xander Henderson, Jendrik Stelzner, Eric Wofsey, user91500 Aug 24 at 6:03
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Isaac Browne, Xander Henderson, Jendrik Stelzner, Eric Wofsey, user91500
add a comment |Â
up vote
1
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favorite
up vote
1
down vote
favorite
Three $24$ hour clocks show the time to be $12$ noon. One of the clocks is always correct, one looses a minute every $24$ hours, and one gains a minute every $24$ hours.
How many days will pass before all three clocks show the correct time again?
calculus
edited Aug 24 at 0:34
Key Flex
1
asked Aug 24 at 0:15
Nereyda Lozano
91
Three $24$ hour clocks show the time to be $12$ noon. One of the clocks is always correct, one looses a minute every $24$ hours, and one gains a minute every $24$ hours.
How many days will pass before all three clocks show the correct time again?
calculus
edited Aug 24 at 0:34
Key Flex
1
asked Aug 24 at 0:15
Nereyda Lozano
91
edited Aug 24 at 0:34
Key Flex
1
edited Aug 24 at 0:34
Key Flex
1
edited Aug 24 at 0:34
Key Flex
1
1
asked Aug 24 at 0:15
Nereyda Lozano
91
asked Aug 24 at 0:15
Nereyda Lozano
91
asked Aug 24 at 0:15
Nereyda Lozano
91
91
closed as off-topic by Isaac Browne, Xander Henderson, Jendrik Stelzner, Eric Wofsey, user91500 Aug 24 at 6:03
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Isaac Browne, Xander Henderson, Jendrik Stelzner, Eric Wofsey, user91500
closed as off-topic by Isaac Browne, Xander Henderson, Jendrik Stelzner, Eric Wofsey, user91500 Aug 24 at 6:03
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Isaac Browne, Xander Henderson, Jendrik Stelzner, Eric Wofsey, user91500
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1 Answer
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Note that a clock which gains a minute a day will show $1:00$p.m after $60$ days.
Following the same pattern in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
In the same way, the clock which loses a minute a day, will show $11:00$ am after $60$ days.
Following the same pattern, in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
All the three clocks show the correct time at noon after $1440$ days.
answered Aug 24 at 0:32
Key Flex
1
Perhaps, This is the next time they are all correct at noon. Might there be an earlier time when they were all correct at some other time?
– Ethan Bolker
Aug 24 at 0:39
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
Note that a clock which gains a minute a day will show $1:00$p.m after $60$ days.
Following the same pattern in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
In the same way, the clock which loses a minute a day, will show $11:00$ am after $60$ days.
Following the same pattern, in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
All the three clocks show the correct time at noon after $1440$ days.
answered Aug 24 at 0:32
Key Flex
1
Perhaps, This is the next time they are all correct at noon. Might there be an earlier time when they were all correct at some other time?
– Ethan Bolker
Aug 24 at 0:39
add a comment |Â
up vote
0
down vote
Note that a clock which gains a minute a day will show $1:00$p.m after $60$ days.
Following the same pattern in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
In the same way, the clock which loses a minute a day, will show $11:00$ am after $60$ days.
Following the same pattern, in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
All the three clocks show the correct time at noon after $1440$ days.
answered Aug 24 at 0:32
Key Flex
1
Perhaps, This is the next time they are all correct at noon. Might there be an earlier time when they were all correct at some other time?
– Ethan Bolker
Aug 24 at 0:39
add a comment |Â
up vote
0
down vote
up vote
0
down vote
Note that a clock which gains a minute a day will show $1:00$p.m after $60$ days.
Following the same pattern in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
In the same way, the clock which loses a minute a day, will show $11:00$ am after $60$ days.
Following the same pattern, in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
All the three clocks show the correct time at noon after $1440$ days.
answered Aug 24 at 0:32
Key Flex
1
Note that a clock which gains a minute a day will show $1:00$p.m after $60$ days.
Following the same pattern in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
In the same way, the clock which loses a minute a day, will show $11:00$ am after $60$ days.
Following the same pattern, in total it will take $60times24=1440$ days for the clock to show the correct time at noon.
All the three clocks show the correct time at noon after $1440$ days.
answered Aug 24 at 0:32
Key Flex
1
answered Aug 24 at 0:32
Key Flex
1
answered Aug 24 at 0:32
Key Flex
1
answered Aug 24 at 0:32
Key Flex
1
1
Perhaps, This is the next time they are all correct at noon. Might there be an earlier time when they were all correct at some other time?
– Ethan Bolker
Aug 24 at 0:39
add a comment |Â
Perhaps, This is the next time they are all correct at noon. Might there be an earlier time when they were all correct at some other time?
– Ethan Bolker
Aug 24 at 0:39
Perhaps, This is the next time they are all correct at noon. Might there be an earlier time when they were all correct at some other time?
– Ethan Bolker
Aug 24 at 0:39
Perhaps, This is the next time they are all correct at noon. Might there be an earlier time when they were all correct at some other time?
– Ethan Bolker
Aug 24 at 0:39
add a comment |Â
