Question Details

How many seconds in total are three in x weeks, x days, x hours, x minutes and x seconds?

Options

A

11580x

B

11581x

C

694860x

D

694861x

Show Answer

Correct Answer :

Option D

694861x

Solution :

The correct option is 694861x.

To find the total number of seconds in x weeks, x days, x hours, x minutes, and x seconds, we need to convert each unit of time into seconds and then sum them up.

Let's break down the conversions step-by-step:
1. Seconds in x seconds:
This is simply x seconds.

2. Seconds in x minutes:
Since 1 minute = 60 seconds, x minutes = 60x seconds.

3. Seconds in x hours:
Since 1 hour = 60 minutes, and each minute has 60 seconds:
1 hour = 60×60=3600 seconds.
Therefore, x hours = 3600x seconds.

4. Seconds in x days:
Since 1 day = 24 hours, and each hour has 3600 seconds:
1 day = 24×3600=86400 seconds.
Therefore, x days = 86400x seconds.

5. Seconds in x weeks:
Since 1 week = 7 days, and each day has 86400 seconds:
1 week = 7×86400=604800 seconds.
Therefore, x weeks = 604800x seconds.

Now, we sum all these values to find the total number of seconds:
Total seconds = (Seconds in x weeks) + (Seconds in x days) + (Seconds in x hours) + (Seconds in x minutes) + (Seconds in x seconds)
Total seconds = 604800x+86400x+3600x+60x+x

Factoring out x:
Total seconds = (604800+86400+3600+60+1)x

Adding the numbers inside the parentheses:
604800+86400=691200
691200+3600=694800
694800+60=694860
694860+1=694861

Thus, the total number of seconds is 694861x.

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