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1. Disregarding A.M. or P.M., if it is 5 o'clock now, what time was it 57 hours ago?

2. If today is Tuesday, what day of the week will it be 93 days from now?

3. Disregarding A.M. or P.M., if it is 10 o'clock now, what time will it be 500 hours after?

4. If today is Thursday, what day of the week will it be 100 days from now and 100 days ago?

Answer :

  1. To find what time it was 57 hours ago, we can first determine how many full days back that would be, since there are 24 hours in a day.

    [tex]\text{Number of full days} = \frac{57}{24} = 2 \text{ full days with a remainder of } 9 \text{ hours}[/tex]

    So, 57 hours ago is 2 days and 9 hours back. If it is 5 o'clock now, and we go back 9 hours, we have:

    [tex]5 - 9 = -4[/tex]

    Since time doesn't go into negative, we wrap around 12 hours, resulting in:

    [tex]12 - 4 = 8[/tex]

    So, it was 8 o'clock.

  2. To find what day of the week it will be 93 days from now, we need to calculate how many weeks and extra days that is. Since there are 7 days in a week:

    [tex]\frac{93}{7} = 13 \text{ weeks and } 2 \text{ extra days}[/tex]

    If today is Tuesday, 93 days from now will be 13 weeks later, which is still Tuesday, and then 2 days extra. So, it will be:

    Tuesday + 2 days = Thursday.

  3. For 500 hours after 10 o'clock, we first convert 500 hours to full days:

    [tex]\frac{500}{24} \approx 20 \text{ days and } 20 \text{ hours}[/tex]

    So, 500 hours from 10 o'clock will be 20 hours past 10 o'clock, within the same day:

    [tex]10 + 20 = 30[/tex]

    Since time is counted up to 12-hour repeats, we need to find the equivalent:

    [tex]30 - 24 = 6[/tex]

    So, it will be 6 o'clock.

  4. To find what day it will be 100 days from now, starting from Thursday:

    [tex]\frac{100}{7} = 14 \text{ weeks and } 2 \text{ extra days}[/tex]

    Thursday + 2 days = Saturday.

    Going 100 days ago, we use the same calculation:

    Thursday - 2 days = Tuesday.

Thus, it will be Saturday 100 days from now, and Tuesday 100 days ago.

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