30021

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

683

Question

A truck driver plans to drive from Cairns to the Gold Coast.

The driving time for the journey is 19 hours.

The driver must stop for at least 8 hours rest after every 10 hours of driving.

What is the latest time that the driver can depart Cairns on Monday to arrive in the Gold Coast at 2 pm on Tuesday?

Worked Solution
Total travel time = 19 + 8
= 27 hours

∴\therefore Time driver must leave Cairns
= 2 pm Tuesday less 27 hours
= 2 pm Monday less 3 hours
= 11 am Monday

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A truck driver plans to drive from Cairns to the Gold Coast. The driving time for the journey is 19 hours. The driver must stop for at least 8 hours rest after every 10 hours of driving. What is the latest time that the driver can depart Cairns on Monday to arrive in the Gold Coast at 2 pm on Tuesday?
workedSolution
||| |-|-| |Total travel time|= 19 + 8| ||= 27 hours|

sm_nogap $\therefore$ Time driver must leave Cairns
>>|| |-| |= 2 pm Tuesday less 27 hours| |= 2 pm Monday less 3 hours| |= 11 am Monday|
correctAnswer
11 am

Answers

Is Correct?Answer
x

1 am

✓

11 am

x

1 pm

x

7 pm

Variant 1

DifficultyLevel

681

Question

A long haul truck driver plans to drive from Brisbane to Kathryn.

The driving time for the journey is 15 hours.

The driver must stop for at least 3 hours rest after every 6 hours of driving.

What is the latest time that the driver can depart Brisbane to arrive in Kathryn at 5 pm on Thursday?

Worked Solution
Total travel time = 6 + 3 + 6 + 3 + 3
= 21 hours

∴\therefore Latest time to leave Brisbane
= 5 pm Thursday less 21 hours
= 5 pm Wednesday plus 3 hours
= 8 pm Wednesday

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A long haul truck driver plans to drive from Brisbane to Kathryn. The driving time for the journey is 15 hours. The driver must stop for at least 3 hours rest after every 6 hours of driving. What is the latest time that the driver can depart Brisbane to arrive in Kathryn at 5 pm on Thursday?
workedSolution
||| |-|-| |Total travel time|= 6 + 3 + 6 + 3 + 3| ||= 21 hours|

sm_nogap $\therefore$ Latest time to leave Brisbane
>>|| |-| |= 5 pm Thursday less 21 hours| |= 5 pm Wednesday plus 3 hours| |= {{{correctAnswer}}}|
correctAnswer
8 pm Wednesday

Answers

Is Correct?Answer
x

2 pm Wednesday

✓

8 pm Wednesday

x

11 pm Wednesday

x

2 am Thursday

Variant 2

DifficultyLevel

671

Question

A family plans to drive from Wollongong to Coffs Harbour.

The driving time for the journey is 7 hours.

The driver must stop for at least 15 minutes rest after every 2 hours of driving.

What is the latest time that the family can depart Wollongong to arrive in Coffs Harbour at 2 pm?

Worked Solution
Total travel time = 7 hours + 3 ×\times 15 minutes
= 7 hours 45 minutes

∴\therefore Family must depart Wollongong
= 2 pm less 7 hours 45 minutes
= 6:15 am

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A family plans to drive from Wollongong to Coffs Harbour. The driving time for the journey is 7 hours. The driver must stop for at least 15 minutes rest after every 2 hours of driving. What is the latest time that the family can depart Wollongong to arrive in Coffs Harbour at 2 pm?
workedSolution
||| |-|-| |Total travel time|= 7 hours + 3 $\times$ 15 minutes| ||= 7 hours 45 minutes|

sm_nogap $\therefore$ Family must depart Wollongong
>>|| |-| |= 2 pm less 7 hours 45 minutes| |= {{{correctAnswer}}}|
correctAnswer
6:15 am

Answers

Is Correct?Answer
✓

6:15 am

x

7:00 am

x

6:00 am

x

5:30 am

Variant 3

DifficultyLevel

672

Question

A removalist needs to drive from Adelaide to Melbourne for a job.

The driving time for the journey is 10 hours.

The driver must stop for at least 30 minutes rest after every 3 hours of driving.

What is the latest time that the driver can depart Adelaide to arrive in Melbourne at 5 pm?

Worked Solution
Total travel time = 10 hours + 3 ×\times 30 minutes
= 11 hours 30 minutes

∴\therefore Driver must leave Adelaide
= 5 pm less 11 hours 30 minutes
= 5:30 am

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A removalist needs to drive from Adelaide to Melbourne for a job. The driving time for the journey is 10 hours. The driver must stop for at least 30 minutes rest after every 3 hours of driving. What is the latest time that the driver can depart Adelaide to arrive in Melbourne at 5 pm?
workedSolution
||| |-|-| |Total travel time|= 10 hours + 3 $\times$ 30 minutes| ||= 11 hours 30 minutes|

sm_nogap $\therefore$ Driver must leave Adelaide
>>|| |-| |= 5 pm less 11 hours 30 minutes| |= {{{correctAnswer}}}|
correctAnswer
5:30 am

Answers

Is Correct?Answer
✓

5:30 am

x

5:00 am

x

6:30 am

x

7:00 am

Variant 4

DifficultyLevel

675

Question

Graham plans to start his university studies by driving from Broken Hill to Sydney.

The driving time for the journey is 13 hours.

Graham plans to stop for at least 15 minutes rest after every 2 hours of driving.

What is the latest time that Graham can depart Broken Hill to arrive in Sydney at 9 pm?

Worked Solution
Total travel time = 13 hours + 6 ×\times 15 minutes
= 14 hours 30 minutes

∴\therefore Graham must leave Broken Hill
= 9 pm less 14 hours 30 minutes
= 9 am less 2 hours 30 minutes
= 6:30 am

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Graham plans to start his university studies by driving from Broken Hill to Sydney. The driving time for the journey is 13 hours. Graham plans to stop for at least 15 minutes rest after every 2 hours of driving. What is the latest time that Graham can depart Broken Hill to arrive in Sydney at 9 pm?
workedSolution
||| |-|-| |Total travel time|= 13 hours + 6 $\times$ 15 minutes| ||= 14 hours 30 minutes|

sm_nogap $\therefore$ Graham must leave Broken Hill
>>|| |-| |= 9 pm less 14 hours 30 minutes| |= 9 am less 2 hours 30 minutes| |= {{{correctAnswer}}}|
correctAnswer
6:30 am

Answers

Is Correct?Answer
x

5:45 am

✓

6:30 am

x

7:15 am

x

7:30 am

Variant 5

DifficultyLevel

668

Question

Kim is driving back to Newcastle from Coonamble.

The driving time for the journey is 5 hours and 45 minutes.

Kim plans to stop for at least 15 minutes rest after every 2 hours of driving.

What is the latest time that Kim can depart Coonamble to arrive in Newcastle at 3 pm?

Worked Solution
Total travel time = 5 hours 45 minutes + 2 ×\times 15 minutes
= 6 hours 15 minutes

∴\therefore Kim's departure time
= 3 pm less 6 hours 15 minutes
= 9 am less 15 minutes
= 8:45 am

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Kim is driving back to Newcastle from Coonamble. The driving time for the journey is 5 hours and 45 minutes. Kim plans to stop for at least 15 minutes rest after every 2 hours of driving. What is the latest time that Kim can depart Coonamble to arrive in Newcastle at 3 pm?
workedSolution
||| |-|-| |Total travel time|= 5 hours 45 minutes + 2 $\times$ 15 minutes| ||= 6 hours 15 minutes|

sm_nogap $\therefore$ Kim's departure time
>>|| |-| |= 3 pm less 6 hours 15 minutes| |= 9 am less 15 minutes| |= {{{correctAnswer}}}|
correctAnswer
8:45 am

Answers

Is Correct?Answer
x

8:15 am

x

8:30 am

✓

8:45 am

x

9:00 am

Tags