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Measurement - Calculating with time and timetables

Grade 6Cambridge (IGCSE)

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Understanding time units: seconds, minutes, hours, days, weeks, months, and years.

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Converting between 12-hour (AM/PM) and 24-hour clock systems.

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Calculating time intervals or durations by finding the difference between start and end times.

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Reading and interpreting transport timetables (buses, trains, flights) to plan journeys.

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Adding and subtracting time by carrying over units of 60 (since 60 minutes = 1 hour).

📐Formulae

1 minute=60 seconds1 \text{ minute} = 60 \text{ seconds}

1 hour=60 minutes1 \text{ hour} = 60 \text{ minutes}

1 day=24 hours1 \text{ day} = 24 \text{ hours}

Duration=Arrival Time−Departure Time\text{Duration} = \text{Arrival Time} - \text{Departure Time}

24-hour time (PM)=12-hour time+12 hours\text{24-hour time (PM)} = \text{12-hour time} + 12 \text{ hours} (except 12:00 PM)

💡Examples

Problem 1:

A train leaves London at 14:35 and arrives in Edinburgh at 19:15. How long was the journey?

Solution:

4 hours and 40 minutes

Explanation:

Step 1: Calculate time from 14:35 to 15:00 (25 minutes). Step 2: Calculate hours from 15:00 to 19:00 (4 hours). Step 3: Add remaining minutes from 19:00 to 19:15 (15 minutes). Total = 4 hours + 25 mins + 15 mins = 4 hours 40 minutes.

Problem 2:

Convert 165 minutes into hours and minutes.

Solution:

2 hours and 45 minutes

Explanation:

Divide 165 by 60. 165÷60=2165 \div 60 = 2 with a remainder of 45. The quotient (2) represents hours and the remainder (45) represents minutes.

Problem 3:

A flight departs at 10:45 PM and lasts for 3 hours and 30 minutes. What time does it arrive in 24-hour format?

Solution:

02:15

Explanation:

First, convert 10:45 PM to 24-hour time: 22:45. Add 3 hours to 22:45 to get 01:45 (next day). Add the remaining 30 minutes to 01:45. Since 45+30=7545 + 30 = 75 minutes (which is 1 hour and 15 minutes), the time becomes 02:15.