At 6 -o clock clock ticks 6 times. The time between first and last tic...
Explanation:
For ticking 6 times, there are 5 intervals.
Each interval has time duration of 30/5 = 6 secs
At 12 o'clock, there are 11 intervals,
so total time for 11 intervals = 11 x 6 = 66 secs.
At 6 -o clock clock ticks 6 times. The time between first and last tic...
Problem Statement:
At 6-o clock, the clock ticks 6 times. The time between the first and last ticks was 30 seconds. We need to find out how much time it takes for the clock to tick 6 times at 12-o clock.
Solution:
To solve this problem, we need to understand the following points:
- At 6-o clock, the clock ticks 6 times.
- The time between the first and last ticks was 30 seconds.
- We need to find out how much time it takes for the clock to tick 6 times at 12-o clock.
Let's try to solve this problem step by step:
Step 1: Calculate the time between two ticks
The clock ticks 6 times in 30 seconds, so the time between two ticks is:
30/5 = 6 seconds
Step 2: Calculate the total time taken for the clock to tick 12 times
To calculate the total time taken for the clock to tick 12 times, we need to calculate the time taken for 6 ticks and then multiply it by 2.
Time taken for 6 ticks = 6*6 = 36 seconds
Total time taken for 12 ticks = 36*2 = 72 seconds
Step 3: Calculate the time taken for the clock to tick 6 times at 12-o clock
The clock ticks 12 times in 1 hour, so the time taken for the clock to tick 6 times at 12-o clock is:
(1/12)*60*60/6 = 300/72 = 25/6 = 4.16 seconds
Therefore, the correct answer is option 'A' i.e. 66 seconds.
Conclusion:
The time taken for the clock to tick 6 times at 12-o clock is 4.16 seconds.