Math Problem Statement

It is 2:00 pm and you are told that if you know what time it will be in 388 hours you get a prize. What time do you say it will be to win the prize?

Solution

To determine the exact time after 388 hours, let’s break this down step-by-step:

  1. Convert hours into days and leftover hours: 388÷24=16dayswith4hoursleft over.388 \div 24 = 16 \, \text{days} \, \text{with} \, 4 \, \text{hours} \, \text{left over}.
    So, 388 hours is equivalent to 16 full days and 4 extra hours.

  2. Starting at 2:00 PM:

    • After 16 full days, the time remains 2:00 PM (since we return to the same time after each 24-hour day cycle).
    • Now, add the 4 extra hours:
      2:00PM+4hours=6:00PM.2:00 \, \text{PM} + 4 \, \text{hours} = 6:00 \, \text{PM}.
  3. Final Answer: The time 388 hours from 2:00 PM will be 6:00 PM, 16 days later.


Do you need any more details or explanations?

5 Related Questions:

  1. What day will it be 16 days from now if today is Tuesday at 2:00 PM?
  2. How many seconds are in 388 hours?
  3. What would be the time 388 hours ago from 2:00 PM?
  4. What is the general formula to calculate the time after any given number of hours?
  5. How do time zones affect calculations like this one?

Tip: When dealing with large numbers of hours, always convert them into days to simplify the math!

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Math Problem Analysis

Mathematical Concepts

Time Calculation
Division with Remainders
Modular Arithmetic

Formulas

Hours to days conversion: Total hours ÷ 24 = full days + leftover hours
Time addition: Starting time + leftover hours = final time

Theorems

Basic Modular Arithmetic

Suitable Grade Level

Grades 5-7