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Two clocks are set correctly at 10 a.m. on Friday. The first clock gains 2 minutes per hour, which is twice as much as gained by the second clock. What time will the second clock register when the correct time is 2 p.m. on the following Monday?
- a)2:42 p.m.
- b)3:16 p.m.
- c)3:24 p.m.
- d)3:32 p.m.
Correct answer is option 'B'. Can you explain this answer?
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Two clocks are set correctly at 10 a.m. on Friday. The first clock gai...
Problem statement:
Two clocks are set correctly at 10 a.m. on Friday. The first clock gains 2 minutes per hour, which is twice as much as gained by the second clock. What time will the second clock register when the correct time is 2 p.m. on the following Monday?
Given:
- Two clocks are set correctly at 10 a.m. on Friday.
- The first clock gains 2 minutes per hour, which is twice as much as gained by the second clock.
- The correct time is 2 p.m. on the following Monday.
To find:
- What time will the second clock register?
Solution:
Let's first calculate how much time the first clock gains in 4 days (from Friday 10 a.m. to Monday 2 p.m.):
Total hours = 4 x 24 = 96 hours
Time gained = 2 minutes/hour x 96 hours = 192 minutes
So, the first clock gains 192 minutes in 4 days.
Now, let's find how much time the second clock gains in 4 days:
Let the second clock gain x minutes per hour.
So, the first clock gains 2x minutes per hour.
Since the first clock gains twice as much as the second clock, we can write:
2x = 2 x x
2x = 2x
x = 0
So, the second clock doesn't gain any time per hour. Therefore, it will show the correct time throughout.
Now, let's find the time difference between the two clocks after 4 days:
The first clock gains 192 minutes in 4 days.
The second clock gains 0 minutes in 4 days.
So, the time difference between the two clocks is 192 minutes.
Finally, let's add this time difference to the correct time (2 p.m. on Monday) to find the time shown by the second clock:
2 p.m. + 192 minutes = 3:12 p.m.
Therefore, the second clock will show 3:16 p.m. when the correct time is 2 p.m. on the following Monday.
Answer: Option (B) 3:16 p.m.
Two clocks are set correctly at 10 a.m. on Friday. The first clock gains 2 minutes per hour, which is twice as much as gained by the second clock. What time will the second clock register when the correct time is 2 p.m. on the following Monday?
Given:
- Two clocks are set correctly at 10 a.m. on Friday.
- The first clock gains 2 minutes per hour, which is twice as much as gained by the second clock.
- The correct time is 2 p.m. on the following Monday.
To find:
- What time will the second clock register?
Solution:
Let's first calculate how much time the first clock gains in 4 days (from Friday 10 a.m. to Monday 2 p.m.):
Total hours = 4 x 24 = 96 hours
Time gained = 2 minutes/hour x 96 hours = 192 minutes
So, the first clock gains 192 minutes in 4 days.
Now, let's find how much time the second clock gains in 4 days:
Let the second clock gain x minutes per hour.
So, the first clock gains 2x minutes per hour.
Since the first clock gains twice as much as the second clock, we can write:
2x = 2 x x
2x = 2x
x = 0
So, the second clock doesn't gain any time per hour. Therefore, it will show the correct time throughout.
Now, let's find the time difference between the two clocks after 4 days:
The first clock gains 192 minutes in 4 days.
The second clock gains 0 minutes in 4 days.
So, the time difference between the two clocks is 192 minutes.
Finally, let's add this time difference to the correct time (2 p.m. on Monday) to find the time shown by the second clock:
2 p.m. + 192 minutes = 3:12 p.m.
Therefore, the second clock will show 3:16 p.m. when the correct time is 2 p.m. on the following Monday.
Answer: Option (B) 3:16 p.m.
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Two clocks are set correctly at 10 a.m. on Friday. The first clock gains 2 minutes per hour, which is twice as much as gained by the second clock. What time will the second clock register when the correct time is 2 p.m. on the following Monday?a)2:42 p.m.b)3:16 p.m.c)3:24 p.m.d)3:32 p.m.Correct answer is option 'B'. Can you explain this answer?
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ample number of questions to practice Two clocks are set correctly at 10 a.m. on Friday. The first clock gains 2 minutes per hour, which is twice as much as gained by the second clock. What time will the second clock register when the correct time is 2 p.m. on the following Monday?a)2:42 p.m.b)3:16 p.m.c)3:24 p.m.d)3:32 p.m.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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