Relate time units

Learning Objectives Convert fluently between various units of time, from seconds to years. Construct and use conversion factors as ratios to solve time-related problems. Set up and solve proportions involving different time units to find unknown values. Convert complex rates, such as kilometers per hour to meters per second, using dimensional analysis. Analyze and solve multi-step word problems that require sequential time unit conversions. Express time in fractional or decimal forms of larger units and convert them accurately (e.g., 75 minutes = 1.25 hours). Ever wondered how many times your heart has beaten in your entire life? 💓 To figure it out, you need to relate tiny seconds to massive years! This tutorial focuses on converting between different units of time using t...

TermDefinitionExample Unit of TimeA standard, defined interval used to measure or express duration.The second (s), minute (min), hour (hr), day, and year are all units of time. Conversion FactorA ratio, equal to one, that expresses the relationship between two different units. It is used to convert a measurement from one unit to another.The ratio (60 minutes / 1 hour) is a conversion factor used to convert hours to minutes. RatioA comparison of two quantities by division. In this context, it's the relationship between two time units.The ratio of seconds to minutes is 60 to 1, or 60:1. RateA special type of ratio that compares two quantities with different kinds of units.A car's speed of 90 kilometers per hour (90 km/hr) is a rate that relates distance and time. ProportionAn equa...

Conversion by Multiplication New Value = Old Value \times \frac{\text{New Unit}}{\text{Old Unit}} To convert a measurement, multiply it by a conversion factor (a fraction equal to one). Arrange the fraction so that the unit you are converting FROM (Old Unit) is in the denominator to cancel it out, leaving you with the unit you are converting TO (New Unit). Solving Proportions by Cross-Multiplication \text{If } \frac{a}{b} = \frac{c}{d}, \text{ then } ad = bc When you have a known ratio of time units (a/b) and want to find an equivalent value for a different amount (c/d, where c or d is unknown), you can set them equal and cross-multiply to solve for the unknown variable. Fundamental Time Equivalencies 60 s = 1 min; 60 min = 1 hr; 24 hr = 1 day; 7 days = 1 week; 365 day...