Mathematics Grade 7 15 min

Elapsed time word problems

Elapsed time word problems

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Introduction & Learning Objectives

Learning Objectives Identify the start time, end time, and duration in a word problem. Calculate elapsed time given a start time and an end time. Determine an end time given a start time and a duration. Determine a start time given an end time and a duration. Solve multi-step elapsed time problems involving different units (hours, minutes). Use number lines or T-charts as strategies to solve elapsed time problems. Estimate elapsed time to check the reasonableness of solutions. Ever wondered how long it takes to bake a cake 🎂 or how much time you spend on homework? Understanding elapsed time helps us manage our day! In this lesson, you'll learn how to solve word problems involving elapsed time. This skill is crucial for planning events, scheduling tasks, and understa...
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Key Concepts & Vocabulary

TermDefinitionExample Start TimeThe specific moment an event or activity begins.If a movie begins at 7:00 PM, 7:00 PM is the start time. End TimeThe specific moment an event or activity concludes.If a movie finishes at 9:15 PM, 9:15 PM is the end time. Elapsed Time (Duration)The amount of time that passes from the start of an event to its end. It's the 'how long' an event lasts.If a movie starts at 7:00 PM and ends at 9:15 PM, the elapsed time is 2 hours and 15 minutes. Time IntervalA specific period of time between two points, often used when breaking down elapsed time into smaller, easier-to-manage chunks.From 7:00 PM to 8:00 PM is a 1-hour time interval. Number Line StrategyA visual tool used to represent time and track its progression or regression, making it easier to...
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Core Formulas

Calculating Elapsed Time $$ \text{Elapsed Time} = \text{End Time} - \text{Start Time} $$ Use this rule when you know when an event began and when it ended, and you need to find out how long it lasted. Remember to adjust for time units (60 minutes per hour) and potential midnight crossings. Calculating End Time $$ \text{End Time} = \text{Start Time} + \text{Elapsed Time} $$ Apply this rule when you know when an event started and how long it lasted, and you want to determine when it will finish. Add the duration to the start time, carrying over hours when minutes exceed 60. Calculating Start Time $$ \text{Start Time} = \text{End Time} - \text{Elapsed Time} $$ Use this rule when you know when an event finished and how long it lasted, and you need to find out when it beg...

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Sample Practice Questions

Challenging
A plane trip has two legs. The first flight departs at 9:05 AM and lasts 2 hours and 50 minutes. The layover is 1 hour and 15 minutes. The second flight is 1 hour and 40 minutes. What time does the plane arrive at its final destination?
A.2:50 PM
B.2:40 PM
C.3:00 PM
D.3:10 PM
Challenging
A painter starts a job at 8:30 AM. The job requires exactly 4 and 1/4 hours of painting time. She also takes a 45-minute lunch break, which is not part of the painting time. What time will she finish for the day?
A.1:45 PM
B.1:30 PM
C.2:00 PM
D.1:15 PM
Challenging
A high-speed train is scheduled for a 2-hour, 10-minute journey, departing at 1:00 PM. Due to a signal issue, the train is stopped on the tracks for 35 minutes during the trip. It then completes the rest of the journey. What is its actual arrival time?
A.3:10 PM
B.3:45 PM
C.2:35 PM
D.4:20 PM

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