If it takes 42 minutes to load 3 1/2 trucks, how many minutes will it take to load 6 1/2 trucks?

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If it takes 42 minutes to load 3 1/2 trucks, how many minutes will it take to load 6 1/2 trucks?

The Correct answer is 78 minutes

Explanation

Convert the mixed number of trucks to a decimal:

3 1/2 trucks = 3 + (1/2) = 7/2 trucks

Calculate the time to load one truck:

Time per truck = Total time / Number of trucks (assuming the loading time is constant per truck)

  • Time per truck = 42 minutes / (7/2) trucks
  • Time per truck = 12 minutes/truck

Calculate the total time to load 6 1/2 trucks:

Similar to step 1, convert the mixed number to a decimal: 6 1/2 trucks = 13/2 trucks

  • Total time = Time per truck * Number of trucks
  • Total time = 12 minutes/truck * (13/2) trucks
  • Total time = 78 minutes

Therefore, it will take 78 minutes to load 6 1/2 trucks.

Minutes and Time

Minutes are a unit of time measurement, commonly used to measure angles and durations. When referring to time, minutes are used to divide an hour into smaller increments. There are 60 minutes in an hour.

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When telling time, minutes are often represented as a number followed by “minutes past” or “minutes to” the hour. For example, “10 minutes past 3” means 3:10, and “20 minutes to 4” means 3:40.

In calculations involving time, minutes can be added, subtracted, multiplied, or divided to determine durations or time differences. For example, if an event starts at 2:15 PM and ends at 4:30 PM, the duration of the event is 2 hours and 15 minutes.

Understanding how to work with minutes is important in many areas of mathematics, including geometry, trigonometry, and calculations involving rates and speeds.

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Source: Math Hello Kitty
Categories: Math