Time and timetables
- 2. You are expected to be able to solve problems involving time. You need to know • how many minutes in an hour • the months of the year • how many days in a month • how many days in a year. If you don’t know them, make sure you learn them so you can complete the following slides. You will find an information sheet Time, Days, Months in the Supporting Resources section to help you.
- 3. How many? a seconds in a minute b minutes in an hour c hours in a day d days in a year e weeks in a year f months in a year 60 seconds in a minute 60 minutes in an hour 24 hours in a day 365 days in a year (or 366 days in a leap year). 52 weeks in a year 12 months in a year
- 4. Example 1 How long is it from 6:30 am to 12:45 pm? First, draw a number line to help you work out how long it is between each section then find the total time. Tip: It’s a good idea (especially if you struggle with time) to wear a watch when you sit your exam. Make sure it has an analogue face, not a digital face. You could also draw a time line to help you breakdown time (as shown here). 6:30am 7:00am Noon 12:45pm 30 mins 5 hours 45 mins 5 hours + 30 minutes + 45 minutes = 6 hours 15 minutes So, 6:30 am to 12:45 pm is 6 hours 15 minutes
- 5. Now try these a 3:15 pm to 8:05 pm b 07:25 to 16:10 c 13:37 to 19:16 4 hours 50 minutes 8 hours 45 minutes 5 hours 39 minutes It is difficult to work time out using a calculator. Remember, there are 60 minutes in 1 hour.
- 6. Example 1 Jack needs to attend a meeting at 11.30 am in Manchester. It will take him 2 hours 35 minutes to get there. What is the latest time that he can leave? You can use a number line to help you. 8:55 9:00 9:30 11:30 Note: If you had worked this out using a calculator you would have got 8:95 as the answer, which is obviously wrong!!! So, 11:30 2:35 = 8:55 count back 2 hours count back 30 minutes another 5 minutes
- 7. Now try this Kelly needs to arrive in Middlesbrough by 3:05. It will take her 1 hour 45 minutes to get there. What is the latest time that she can leave? Did you get 1:20? 1:20 2:00 2:05 3:05 Note: If you had worked this out using a calculator you would have got 1:60 as the answer, which is obviously wrong!!! So, 3:05 1:45 = 1:20 count back 1 hour count back 5 minutes another 40 minutes
- 8. You also need to be able to organise a schedule of activities. There is usually more than one way to solve this type of problem. Have a go at the following question and then look at the solution. Tip: when attempting this type of question you need to write everything down. Think about it carefully and then plan the day making sure you fit everybody in at the times they requested.
- 9. Bob is a plumber. He has several jobs that he needs to fit in during the day. He has to organise his time so he can fit them in to his working day. • Bob needs 1 hour at Mrs Brown's house, but she is only in from 1:00 pm. • Mr Smith needs a morning appointment and the job will take 11 2 hours. • There is 2 hours work to be completed at Mrs Mellor's. • Bob has to spend 11 2 hours at Mr Hallworth's. • It takes Bob 15 minutes to drive from the depot to his first appointment and 15 minutes between appointments. • Bob takes 30 minutes for his lunch. • Bob has to be finished by 5:00 pm at the latest (but he doesn’t need to go back the depot.
- 10. Solution 9:00 – 9:15 Drive from depot to first appointment. 9:15 – 10:45 Mr Smith's appointment. 10:45 – 11:00 Drive to next appointment. 11:00 – 12:30 Mr Hallworth's appointment. 12:30 – 12:45 Drive to next appointment. 12:45 – 1:15 Lunch 1:15 – 2:15 Mrs Brown's appointment. 2:15 – 2:30 Drive to next appointment. 2:30 – 4:30 Mrs Mellor's appointment. 4:30 Finish work. Note: You do not have to have the same solution as this one, as long as you have timetabled Mr Smith for a morning visit and Mrs Brown after 1:00 pm.
- 11. You also need to be able to find information from timetables to solve problems. Look at the following train timetable. Kemble 15:34 16:34 17:26 18:15 Stroud 15:49 16:49 17:41 18:30 Stonehouse 15:54 16:54 17:46 18:35 Gloucester 16:07 17:08 18:01 18:47 Cheltenham 16:20 17:19 ------- 19:06 Bakti needs to be in Cheltenham for 5.00 pm. Which is the latest train she can catch from Kemble?
- 12. First, you need to find which train will arrive before 5.00 pm (using the 24 hour clock 5:00 pm is 17:00). Look at the timetable and you can see that Bakti has to catch the train that arrives at 16:20. Kemble 15:34 16:34 17:26 18:15 Stroud 15:49 16:49 17:41 18:30 Stonehouse 15:54 16:54 17:46 18:35 Gloucester 16:07 17:08 18:01 18:47 Cheltenham 16:20 17:19 ------- 19:06 Then, look in the column to find what time the train leaves Kemble, you can see that it is 15:34 Bakti needs to catch the 15:34 train from Kemble. 15:34 16:20
- 13. How long does the 16:49 train from Stroud take to reach Cheltenham? First, you need to find what time the train arrives in Cheltenham. Kemble 15:34 16:34 17:26 18:15 Stroud 15:49 16:49 17:41 18:30 Stonehouse 15:54 16:54 17:46 18:35 Gloucester 16:07 17:08 18:01 18:47 Cheltenham 16:20 17:19 ------- 19:06 The train takes 30 minutes from Stroud to Cheltenham. From 16:49 to 17:00 is 11 minutes and from 17:00 to 17:19 is 19 minutes so from 16:49 to 17:19 is 30 minutes. 16:49 17:19
- 14. Try this. Jack lives in Long Eaton. He needs to be in Nottingham by 9.00 am. Derby ------ 07:29 08:02 ------ 08:54 Spondon ------ 07:34 ------ ------ ------ Long Eaton ------ 07:41 08:11 ------ 09:04 Attenborough 07:36 07:47 08:17 08:34 ------ Beeston 07:40 07:51 ------ 08:37 ------ Nottingham 07:45 08:00 08:24 08:43 09:10 What is the latest train he can catch? How long will the journey take? Which train would Jack's friend, Sue, need to catch from Derby to be in Attenborough for 8:30 am? How long will Sue’s journey take? 13 minutes 15 minutes 08:02 08:11