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Two clocks were set right at noon on Sunday. One gains 2 min and the other loses 3 min in 24 hours. What will be the true time when the first clock indicates 3 pm on Wednesday?
- a)2:38 pm
- b)2:54 pm
- c)2:23 pm
- d)2:48 pm
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two clocks were set right at noon on Sunday. One gains 2 min and the o...
Given information:
- Two clocks were set right at noon on Sunday.
- One clock gains 2 minutes in 24 hours.
- The other clock loses 3 minutes in 24 hours.
- We need to find the true time when the first clock indicates 3 pm on Wednesday.
Calculations:
- From Sunday noon to Wednesday noon, i.e. 72 hours, the first clock gains 2 x 72 = 144 minutes.
- From Sunday noon to Wednesday noon, i.e. 72 hours, the second clock loses 3 x 72 = 216 minutes.
- So, the second clock is behind the first clock by 216 - 144 = 72 minutes.
- When the first clock indicates 3 pm on Wednesday, it has run for 75 hours, i.e. 3 x 24 + 3 = 75 hours.
- So, the true time will be 72 minutes behind 3 pm on Wednesday, which is 2:54 pm.
Therefore, the correct answer is option 'B' (2:54 pm).
- Two clocks were set right at noon on Sunday.
- One clock gains 2 minutes in 24 hours.
- The other clock loses 3 minutes in 24 hours.
- We need to find the true time when the first clock indicates 3 pm on Wednesday.
Calculations:
- From Sunday noon to Wednesday noon, i.e. 72 hours, the first clock gains 2 x 72 = 144 minutes.
- From Sunday noon to Wednesday noon, i.e. 72 hours, the second clock loses 3 x 72 = 216 minutes.
- So, the second clock is behind the first clock by 216 - 144 = 72 minutes.
- When the first clock indicates 3 pm on Wednesday, it has run for 75 hours, i.e. 3 x 24 + 3 = 75 hours.
- So, the true time will be 72 minutes behind 3 pm on Wednesday, which is 2:54 pm.
Therefore, the correct answer is option 'B' (2:54 pm).
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Community Answer
Two clocks were set right at noon on Sunday. One gains 2 min and the o...
Time from noon on Sunday to 3 pm on Wednesday = 75 hours.
24 hours 2 minutes of the first clock
= 24 hours of the correct one.
⇒ 1 hour of the first clock = 24 × (30/721) hours of correct one.
⇒ 75 ours of the first clock
= 24 × 30 × (75/721) hours of correct one
= 54000/721 hours = 74 hours 53.7 min.
Hence the answer is 2:54 pm.
24 hours 2 minutes of the first clock
= 24 hours of the correct one.
⇒ 1 hour of the first clock = 24 × (30/721) hours of correct one.
⇒ 75 ours of the first clock
= 24 × 30 × (75/721) hours of correct one
= 54000/721 hours = 74 hours 53.7 min.
Hence the answer is 2:54 pm.
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Two clocks were set right at noon on Sunday. One gains 2 min and the other loses 3 min in 24 hours. What will be the true time when the first clock indicates 3 pm on Wednesday?a)2:38 pmb)2:54 pmc)2:23 pmd)2:48 pmCorrect answer is option 'B'. Can you explain this answer?
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