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There are two clocks, both set to show 10 pm on 21st January 2010. One clock gains 2 minutes in an hour and the other clock loses 5 minutes in an hour. Then by how many minutes do the two clocks differ at 4 pm on 22nd January 2010?
- a)126 minutes
- b)136 minutes
- c)96 minutes
- d)106 minutes
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
There are two clocks, both set to show 10 pm on 21stJanuary 2010. One ...
One clock show 10 pm, on 21st January 2010
One clock gains = 2 minutes
Other clock loses = 5 minutes
Time period between 10 pm and 4 pm = 18 hours
∴ Required difference
= (2 × 18 + 5 × 18 ) minutes
= 126 minutes
One clock gains = 2 minutes
Other clock loses = 5 minutes
Time period between 10 pm and 4 pm = 18 hours
∴ Required difference
= (2 × 18 + 5 × 18 ) minutes
= 126 minutes
Community Answer
There are two clocks, both set to show 10 pm on 21stJanuary 2010. One ...
Introduction:
In this problem, we are given two clocks that are set to show 10 pm on 21st January 2010. One clock gains 2 minutes in an hour, while the other clock loses 5 minutes in an hour. We need to determine the difference in minutes between the two clocks at 4 pm on 22nd January 2010.
Approach:
To solve this problem, we can calculate the time passed from 10 pm on 21st January 2010, to 4 pm on 22nd January 2010 for both clocks. Then, we can find the difference in minutes between the two times.
Calculating the time passed:
- The time passed from 10 pm on 21st January 2010 to 4 am on 22nd January 2010 is 6 hours.
- The time passed from 4 am to 4 pm on the same day is 12 hours.
- Therefore, the total time passed from 10 pm on 21st January 2010 to 4 pm on 22nd January 2010 is 18 hours.
Calculating the time on the first clock:
- The first clock gains 2 minutes in an hour.
- So, in 18 hours, the first clock would gain 18 * 2 = 36 minutes.
- Therefore, the time shown on the first clock at 4 pm on 22nd January 2010 would be 10:36 pm.
Calculating the time on the second clock:
- The second clock loses 5 minutes in an hour.
- So, in 18 hours, the second clock would lose 18 * 5 = 90 minutes.
- Therefore, the time shown on the second clock at 4 pm on 22nd January 2010 would be 9:30 pm.
Calculating the difference:
- To find the difference between the two clocks, we need to subtract the time shown on the second clock from the time shown on the first clock.
- The difference is 10:36 pm - 9:30 pm = 1 hour and 6 minutes.
- Since 1 hour is equal to 60 minutes, the difference is 60 + 6 = 66 minutes.
Conclusion:
Therefore, the two clocks differ by 66 minutes at 4 pm on 22nd January 2010.
In this problem, we are given two clocks that are set to show 10 pm on 21st January 2010. One clock gains 2 minutes in an hour, while the other clock loses 5 minutes in an hour. We need to determine the difference in minutes between the two clocks at 4 pm on 22nd January 2010.
Approach:
To solve this problem, we can calculate the time passed from 10 pm on 21st January 2010, to 4 pm on 22nd January 2010 for both clocks. Then, we can find the difference in minutes between the two times.
Calculating the time passed:
- The time passed from 10 pm on 21st January 2010 to 4 am on 22nd January 2010 is 6 hours.
- The time passed from 4 am to 4 pm on the same day is 12 hours.
- Therefore, the total time passed from 10 pm on 21st January 2010 to 4 pm on 22nd January 2010 is 18 hours.
Calculating the time on the first clock:
- The first clock gains 2 minutes in an hour.
- So, in 18 hours, the first clock would gain 18 * 2 = 36 minutes.
- Therefore, the time shown on the first clock at 4 pm on 22nd January 2010 would be 10:36 pm.
Calculating the time on the second clock:
- The second clock loses 5 minutes in an hour.
- So, in 18 hours, the second clock would lose 18 * 5 = 90 minutes.
- Therefore, the time shown on the second clock at 4 pm on 22nd January 2010 would be 9:30 pm.
Calculating the difference:
- To find the difference between the two clocks, we need to subtract the time shown on the second clock from the time shown on the first clock.
- The difference is 10:36 pm - 9:30 pm = 1 hour and 6 minutes.
- Since 1 hour is equal to 60 minutes, the difference is 60 + 6 = 66 minutes.
Conclusion:
Therefore, the two clocks differ by 66 minutes at 4 pm on 22nd January 2010.
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There are two clocks, both set to show 10 pm on 21stJanuary 2010. One clock gains 2 minutes in an hour and the other clock loses 5 minutes in an hour. Then by how many minutes do the two clocks differ at 4 pm on 22ndJanuary 2010?a)126 minutesb)136 minutesc)96 minutesd)106 minutesCorrect answer is option 'A'. Can you explain this answer?
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