Correct Option (4)
To determine the total number of seconds, each specified time unit must be converted into seconds and then summed. The variable 'x' represents the quantity for each respective unit (weeks, days, hours, minutes, and seconds).
- 1 week = 7 days = 7 × 24 hours = 7 × 24 × 60 minutes = 7 × 24 × 60 × 60 seconds = 604800 seconds.
- 1 day = 24 hours = 24 × 60 minutes = 24 × 60 × 60 seconds = 86400 seconds.
- 1 hour = 60 minutes = 60 × 60 seconds = 3600 seconds.
- 1 minute = 60 seconds.
- 1 second = 1 second.
The total number of seconds is calculated by summing the seconds equivalent for each 'x' unit:
Total seconds = (x weeks) + (x days) + (x hours) + (x minutes) + (x seconds)
Total seconds = x×(604800)+x×(86400)+x×(3600)+x×(60)+x×(1)
Factoring out 'x':
Total seconds = x×(604800+86400+3600+60+1)
Total seconds = x×(694861)
Thus, the total number of seconds is 694861x. This calculation correctly aggregates the seconds equivalent for each 'x' unit, ensuring all time components are accurately converted and summed.
Incorrect Options:
Options 1, 2, and 3 are incorrect as they do not represent the accurate summation of 'x' units of weeks, days, hours, minutes, and seconds converted entirely into seconds. These values would result from errors in unit conversion factors or an incomplete aggregation of all specified time components.