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Yalis has to take a tablet every 99 hours. The course of medication is 1515 tablets.He takes his first tablet at 11am11am on Tuesday. When will he take his last tablet?

Question

Yalis has to take a tablet every 99 hours. The course of medication is 1515 tablets.He takes his first tablet at 11am11am on Tuesday. When will he take his last tablet?

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Solution 1

To solve this problem, we first need to calculate the total time Yalis will spend taking the medication.

Step 1: Multiply the number of tablets by the frequency of intake. 1515 tablets * 99 hours/tablet = 150,085 hours

Step 2: Convert the total hours to days to make it easier to calculate. 150,085 hours ÷ 24 hours/day = 6253.54 days

Since the decimal part is less than 0.5, we can ignore it. So, Yalis will spend approximately 6253 days taking the medication.

Step 3: Determine the day of the week 6253 days from Tuesday. 6253 days ÷ 7 days/week = 893 weeks and 4 days

So, 6253 days from Tuesday is a Saturday.

Step 4: Determine the time of the day for the last tablet. The first tablet was taken at 11am. Since each tablet is taken every 99 hours, the time for the last tablet will be the same as the first one, which is 11am.

So, Yalis will take his last tablet at 11am on a Saturday, 6253 days (or approximately 17 years and 2 months) after he started his medication.

This problem has been solved

Solution 2

To solve this problem, we first need to calculate the total time Yalis will spend taking the medication.

Step 1: Calculate total time of medication The total time of medication is the number of tablets multiplied by the time interval between each tablet. So, the total time is 1515 tablets * 99 hours/tablet = 149985 hours.

Step 2: Convert hours to days There are 24 hours in a day, so the total time in days is 149985 hours ÷ 24 hours/day = 6249.375 days.

Step 3: Calculate the date of the last tablet Yalis takes his first tablet at 11am on Tuesday. Since there are 7 days in a week, we can calculate the day of the week of the last tablet by taking the total number of days modulo 7. 6249.375 days % 7 days/week = 4.375 days. This means the last tablet will be taken 4 days after Tuesday, which is Saturday.

Step 4: Calculate the time of the last tablet The decimal part of the total days (.375) represents the time of the day when the last tablet will be taken. .375 day * 24 hours/day = 9 hours. So, the last tablet will be taken 9 hours after 11am, which is 8pm.

Therefore, Yalis will take his last tablet at 8pm on a Saturday.

This problem has been solved

Solution 3

To solve this problem, we need to calculate the total time Yalis will spend taking all the tablets and then determine the date and time of the last tablet.

Step 1: Calculate the total time for the medication The total time for the medication is the number of tablets multiplied by the time interval between each tablet. In this case, it's 1515 tablets * 99 hours/tablet = 149985 hours.

Step 2: Convert the total time to days There are 24 hours in a day, so 149985 hours ÷ 24 hours/day = 6249.375 days. Since we can't have a fraction of a day, we'll round this up to 6250 days.

Step 3: Determine the date of the last tablet Yalis takes his first tablet on a Tuesday. 6250 days later will also be a Tuesday because 6250 is a multiple of 7 (the number of days in a week).

Step 4: Calculate the time of the last tablet The fraction of a day (.375) multiplied by 24 hours/day gives us the time of day when Yalis will take his last tablet. .375 * 24 hours/day = 9 hours.

So, Yalis will take his last tablet 9 hours after 11am, which is 8pm.

In conclusion, Yalis will take his last tablet on a Tuesday, 6250 days after he started his medication, at 8pm.

This problem has been solved

Solution 5

To solve this problem, we first need to calculate the total time Yalis will spend taking the medication.

Step 1: Multiply the number of tablets by the frequency of intake. 1515 tablets * 99 hours/tablet = 150,085 hours

Step 2: Convert the total hours to days to make it easier to calculate. 150,085 hours ÷ 24 hours/day = 6253.54 days

Since we can't have a fraction of a day, we'll round down to 6253 days.

Step 3: Determine the day of the week 6253 days later. 6253 days ÷ 7 days/week = 893 weeks with 4 days leftover.

Since he started on a Tuesday, 4 days later would be a Saturday.

Step 4: Calculate the time of day. The fractional day .54 * 24 hours/day = 12.96 hours, which is approximately 13 hours.

Since he took his first tablet at 11am, 13 hours later would be midnight.

So, Yalis will take his last tablet at midnight on a Saturday, 6253 days after he started his medication.

This problem has been solved

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