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Measure - Reading and using timetables

Grade 3Cambridge (IGCSE)

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

🔑Concepts

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A timetable is a schedule that shows the times when buses, trains, or planes arrive at and depart from specific locations.

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Timetables are usually organized in a grid where the rows represent different stops or stations, and each column represents a specific trip.

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The 12-hour clock divides the day into two periods: a.m. (ante meridiem, before noon) and p.m. (post meridiem, after noon).

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The 24-hour clock counts the hours from 00:0000:00 (midnight) to 23:5923:59. To change a p.m. time to a 24-hour time, we add 1212 to the hour. For example, 4:004:00 p.m. is 4+12=16:004 + 12 = 16:00.

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Duration is the length of time a journey takes. It is calculated by finding the difference between the arrival time and the departure time.

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To calculate time intervals, it is often easiest to 'bridge the hour' (count forward to the next whole hour, then add the remaining minutes).

📐Formulae

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

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

p.m. Time+12 hours=24-hour Time\text{p.m. Time} + 12 \text{ hours} = \text{24-hour Time}

💡Examples

Problem 1:

A train leaves the City Station at 08:4508:45 and arrives at the Beach Station at 09:2009:20. How many minutes does the journey take?

Solution:

09:20−08:45=35 minutes09:20 - 08:45 = 35 \text{ minutes}

Explanation:

We can bridge the hour. From 08:4508:45 to 09:0009:00 is 1515 minutes. From 09:0009:00 to 09:2009:20 is 2020 minutes. Adding them together: 15+20=3515 + 20 = 35 minutes.

Problem 2:

Look at the bus timetable below:

StopBus ABus BMaple Road13:1014:10High Street13:2514:25School Lane13:4514:45\begin{array}{|l|c|c|} \hline \text{Stop} & \text{Bus A} & \text{Bus B} \\ \hline \text{Maple Road} & 13:10 & 14:10 \\ \text{High Street} & 13:25 & 14:25 \\ \text{School Lane} & 13:45 & 14:45 \\ \hline \end{array}

If you miss Bus A at Maple Road, how long must you wait for Bus B at the same stop?

Solution:

14:10−13:10=1 hour (or 60 minutes)14:10 - 13:10 = 1 \text{ hour (or 60 minutes)}

Explanation:

Bus A leaves Maple Road at 13:1013:10. Bus B leaves at 14:1014:10. The difference between 13:1013:10 and 14:1014:10 is exactly 11 hour.

Problem 3:

Convert the following 12-hour times to 24-hour clock times: a) 6:306: 30 a.m. b) 9:159: 15 p.m.

Solution:

a) 06:3006:30 b) 21:1521:15

Explanation:

For a.m. times, the hour stays the same (we use a leading zero for single digits). For p.m. times, we add 1212 to the hour: 9+12=219 + 12 = 21.

Reading and using timetables Grade 3 Notes & Examples