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Timetables and time intervals

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visibility 65update 3 months agobookmarkshare

🎯 In this topic you will

  • Read and interpret a timetable in order to solve practical problems.
  • Choose and use suitable units to calculate time intervals accurately.
 

🧠 Key Words

  • calendar
  • leap year
  • time interval
  • timetable
Show Definitions
  • calendar: A system used to organise days, weeks, and months in a year.
  • leap year: A year with 366 days, including an extra day in February, used to keep calendars accurate.
  • time interval: The amount of time between two given times or events.
  • timetable: A table that shows times at which events, such as lessons or journeys, happen.
 

Why Knowing the Time Matters ⏰

I t is important to know how to tell the time and be able to read a calendar and a timetable. This skill helps you plan your day and understand when things will happen.

 

Being on Time for Important Events 🚆

U nderstanding time and timetables helps you arrive on time for important events, such as catching a train, bus, plane, or boat. If you misread the time, you might arrive just as it is leaving.

 
📘 Worked example

Here is a coach timetable.

Which coach completes the journey to Corbury in the shorter time?

Use a time line. You can work out the time taken between each stop and add them up, or work out the time taken between the start and the end. Compare the times to decide which coach takes the shorter time.

Answer:

The 09:09 coach takes $36$ minutes.

The 10:10 coach takes $38$ minutes.

Answer: The 09:09 coach takes the shorter time.

From $09{:}09$ to $09{:}24$ is $15$ minutes, and from $09{:}24$ to $09{:}45$ is $21$ minutes. Adding them gives $15 + 21 = 36$ minutes.

From $10{:}10$ to $10{:}48$ is $38$ minutes.

Comparing $36$ minutes and $38$ minutes shows that the $09{:}09$ coach is quicker.

 

EXERCISES

$1$. Heidi went to her friend’s house.
She arrived at $2.00$ p.m. and left at $2.45$ p.m.
How long was Heidi at her friend’s house?

👀 Show answer
From $2.00$ p.m. to $2.45$ p.m. is $45$ minutes, so Heidi was there for $45$ minutes.

$2$. The swimming pool opens at $8.00$ a.m.
It closes at $6.00$ p.m.
How long is the pool open?

👀 Show answer
From $8.00$ a.m. to $6.00$ p.m. is $10$ hours, so the pool is open for $10$ hours.

$3$. The time is $9.25$ a.m.
Haibo says, ‘The time is closer to $09{:}00$ than to $10{:}00$.’
Explain why Haibo is correct.

👀 Show answer
$9.25$ a.m. is $25$ minutes after $09{:}00$, but it is $35$ minutes before $10{:}00$. Since $25 < 35$, the time is closer to $09{:}00$.

$4$. These are the opening times of a museum.

Day Opening times
Monday Closed
Tuesday to Friday $10.30$ a.m. to $5.30$ p.m.
Saturday $9.00$ a.m. to $6.00$ p.m.
Sunday $11.00$ a.m. to $4.00$ p.m.

a. How many hours is the museum open on Wednesday?

b. Zina arrived at the museum at $3.15$ p.m. on Sunday.
How long could she stay before closing time?

👀 Show answer

a. On Wednesday (Tuesday to Friday), it is open from $10.30$ a.m. to $5.30$ p.m., which is $7$ hours.

b. On Sunday it closes at $4.00$ p.m. From $3.15$ p.m. to $4.00$ p.m. is $45$ minutes, so she could stay $45$ minutes.

$5$. Here is part of a bus timetable from Dondale to Bodmin.

Stop $12{:}12$ $12{:}31$ $12{:}48$ $13{:}02$
Dondale $12{:}12$ $12{:}31$ $12{:}48$ $13{:}02$
Knightsbridge $12{:}21$ $12{:}38$ $12{:}55$ $13{:}11$
Bridgetown $12{:}38$ $12{:}52$ $13{:}11$ $13{:}28$
Treham $12{:}44$ $13{:}00$ $13{:}17$ $13{:}36$
Bodmin $13{:}01$ $13{:}17$ $13{:}34$ $13{:}53$

a. How many minutes does it take the $13{:}02$ bus from Dondale to reach Bodmin?

b. Magda is at Bridgetown at $1$ p.m.
What is the earliest time she can reach Treham?
Check your answers with your partner.

👀 Show answer

a. The $13{:}02$ bus reaches Bodmin at $13{:}53$. Time taken is $53 - 2 = 51$ minutes, so it takes $51$ minutes.

b. At $1$ p.m. ($13{:}00$), the next bus from Bridgetown is at $13{:}11$. That bus reaches Treham at $13{:}17$, so the earliest time is $1{:}17$ p.m. ($13{:}17$).

$6$. The Golden Gate Bridge in San Francisco was opened on $27$ May $1937$.
Jyoti visits the bridge on $27$ May $2020$.
How many years has the bridge been open?

👀 Show answer
From $27$ May $1937$ to $27$ May $2020$ is $2020 - 1937 = 83$ years, so the bridge has been open for $83$ years.

$7$. Here is a timetable for Class $4$ on Tuesday.

 

a. How long does Assembly last?

b. How long does morning break last?

c. Hassan’s favourite lessons are Maths and Science.
How long is spent, in total, in these two lessons?

👀 Show answer

a. Assembly runs from $09{:}15$ to $09{:}35$, so it lasts $20$ minutes.

b. Morning break runs from $10{:}35$ to $10{:}50$, so it lasts $15$ minutes.

c. Maths is $10{:}50$ to $11{:}50$ ($60$ minutes) and Science is $13{:}30$ to $14{:}30$ ($60$ minutes). Total time is $60 + 60 = 120$ minutes, which is $2$ hours.

 

🧠 Think like a Mathematician

a. Leila goes swimming each day from Monday 2 December to Friday 6 December.
How many days does she go swimming?

b. Ahmed joins a gym club from 1 April to 30 June.
How many months is this?

c. Ros works on a project from Wednesday 11 September to Tuesday 8 October.
How many weeks does she work on the project?

👀 show answer
  • a. From Monday to Friday inclusive is 5 days.
  • b. From 1 April to 30 June covers April, May, and June, which is 3 months.
  • c. From 11 September to 8 October is 27 days, which is just under 4 weeks (that is, 3 weeks and 6 days).
 

📘 What we've learned

  • Read and interpret timetables to find start times, finish times, and journeys.
  • Calculate time intervals by finding the difference between two times.
  • Choose suitable units for time, such as minutes, hours, days, weeks, and months.
  • Use timelines and tables to compare durations and decide which takes less or more time.
  • Apply time calculations to real-life situations, such as travel, opening times, and school timetables.

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