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How many quarter minutes does the second hand of a clock complete to travel through from 6:15 p.m. to 6:18 p.m.?
- a)4
- b)8
- c)12
- d)16
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
How many quarter minutes does the second hand of a clock complete to t...
The correct option is Option C.
We know,
One quarter minute = 15 seconds
Now, the time difference between 6:15 p.m. and 6:18 p.m. is = 3 minutes
So, One whole minute has 60 seconds, which means
= 60 / 15 = 4 quarters
So, 3 minutes will have = 4 × 3 = 12 quarter minutes.
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How many quarter minutes does the second hand of a clock complete to t...
To find out how many quarter minutes the second hand of a clock completes from 6:15 p.m. to 6:18 p.m., we need to calculate the number of minutes between these two times and then convert it into quarter minutes.
Step 1: Calculate the number of minutes between 6:15 p.m. and 6:18 p.m.
- The starting time is 6:15 p.m. and the ending time is 6:18 p.m.
- The difference in hours is 6 - 6 = 0 hours.
- The difference in minutes is 18 - 15 = 3 minutes.
- So, the total time difference is 0 hours and 3 minutes.
Step 2: Convert the time difference into minutes.
- Since there are 60 minutes in an hour, we can convert the 0 hours into minutes.
- 0 hours = 0 minutes.
- So, the total time difference is 0 minutes + 3 minutes = 3 minutes.
Step 3: Convert the time difference into quarter minutes.
- Since there are 15 minutes in a quarter hour, we can convert the 3 minutes into quarter minutes.
- 3 minutes = 3/15 quarter minutes.
- Simplifying the fraction, 3/15 = 1/5 quarter minutes.
- So, the total time difference is 1/5 quarter minutes.
Therefore, the second hand of the clock completes 1/5 quarter minutes from 6:15 p.m. to 6:18 p.m.
Since 1/5 is not a whole number, it means the second hand does not complete any full quarter minutes during this time period. Therefore, the correct answer is option C) 12.
Step 1: Calculate the number of minutes between 6:15 p.m. and 6:18 p.m.
- The starting time is 6:15 p.m. and the ending time is 6:18 p.m.
- The difference in hours is 6 - 6 = 0 hours.
- The difference in minutes is 18 - 15 = 3 minutes.
- So, the total time difference is 0 hours and 3 minutes.
Step 2: Convert the time difference into minutes.
- Since there are 60 minutes in an hour, we can convert the 0 hours into minutes.
- 0 hours = 0 minutes.
- So, the total time difference is 0 minutes + 3 minutes = 3 minutes.
Step 3: Convert the time difference into quarter minutes.
- Since there are 15 minutes in a quarter hour, we can convert the 3 minutes into quarter minutes.
- 3 minutes = 3/15 quarter minutes.
- Simplifying the fraction, 3/15 = 1/5 quarter minutes.
- So, the total time difference is 1/5 quarter minutes.
Therefore, the second hand of the clock completes 1/5 quarter minutes from 6:15 p.m. to 6:18 p.m.
Since 1/5 is not a whole number, it means the second hand does not complete any full quarter minutes during this time period. Therefore, the correct answer is option C) 12.
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