20352

Question

{{people}} are driving from {{place1}} to {{place2}} which is a distance of {{distance}} kilometres.

After every two hours of driving, they rest for {{rest}} minutes and swap drivers.

How long will their trip take if they average {{speed}} km/h when driving?

Worked Solution

Driving time = distancespeed\dfrac{ {{distance}} }{ {{speed}} } = {{time1}}

Number of stops = {{stops}}
∴\therefore Total trip time = {{working1}}
= {{working2}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

597

Question

Oscar and Lucinda are driving from Dungog to Bourke which is a distance of 735 kilometres.

After every two hours of driving, they rest for 15 minutes and swap drivers.

How long will their trip take if they average 70 km/h when driving?

Worked Solution

Driving time = 73570\dfrac{ 735 }{ 70 } = 10.5 h

Number of stops = 5
∴\therefore Total trip time = 10 h 30 m + (5 ×\times 15 m)
= 10 h 30 m + 1 h 15 m
= 11 h 45 min

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
people
Oscar and Lucinda
place1
Dungog
place2
Bourke
distance
735
rest
15
speed
70
time1
10.5 h
stops
5
working1
10 h 30 m + (5 $\times$ 15 m)
working2
10 h 30 m + 1 h 15 m
correctAnswer
11 h 45 min

Answers

Is Correct?Answer
x

10 h 30 min

x

10 h 45 min

x

11 h 30 min

✓

11 h 45 min

Variant 1

DifficultyLevel

597

Question

Roy and Siegfried are driving from Broken Hill to Albury which is a distance of 840 kilometres.

After every two hours of driving, they rest for 20 minutes and swap drivers.

How long will their trip take if they average 80 km/h when driving?

Worked Solution

Driving time = 84080\dfrac{ 840 }{ 80 } = 10.5

Number of stops = 5
∴\therefore Total trip time = 10 h 30 m + (5 ×\times 20 m)
= 10 h 30 m + 1 h 40 m
= 12 h 10 min

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
people
Roy and Siegfried
place1
Broken Hill
place2
Albury
distance
840
rest
20
speed
80
time1
10.5
stops
5
working1
10 h 30 m + (5 $\times$ 20 m)
working2
10 h 30 m + 1 h 40 m
correctAnswer
12 h 10 min

Answers

Is Correct?Answer
x

10 h 30 min

x

11 h 10 min

x

11 h 50 min

✓

12 h 10 min

Variant 2

DifficultyLevel

599

Question

Banjo and Henry are driving from Bowral to Glen Innes which is a distance of 760 kilometres.

After every two hours of driving, they rest for 30 minutes and swap drivers.

How long will their trip take if they average 80 km/h when driving?

Worked Solution

Driving time = 76080\dfrac{ 760 }{ 80 } = 9.5

Number of stops = 4
∴\therefore Total trip time = 9 h 30 min + (4 ×\times 30 m)
= 9 h 30 m + 2 h
= 11 h 30 min

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
people
Banjo and Henry
place1
Bowral
place2
Glen Innes
distance
760
rest
30
speed
80
time1
9.5
stops
4
working1
9 h 30 min + (4 $\times$ 30 m)
working2
9 h 30 m + 2 h
correctAnswer
11 h 30 min

Answers

Is Correct?Answer
x

9 h 30 min

x

11 h 0 min

✓

11 h 30 min

x

12 h 30 min

Variant 3

DifficultyLevel

601

Question

Tics and Rooster are driving from Coffs Harbour to Nowra which is a distance of 690 kilometres.

After every two hours of driving, they rest for 15 minutes and swap drivers.

How long will their trip take if they average 60 km/h when driving?

Worked Solution

Driving time = 69060\dfrac{ 690 }{ 60 } = 11.5

Number of stops = 5
∴\therefore Total trip time = 11 h 30 m + (5 ×\times 15 m)
= 11 h 30 m + 1 h 15 m
= 12 h 45 min

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
people
Tics and Rooster
place1
Coffs Harbour
place2
Nowra
distance
690
rest
15
speed
60
time1
11.5
stops
5
working1
11 h 30 m + (5 $\times$ 15 m)
working2
11 h 30 m + 1 h 15 m
correctAnswer
12 h 45 min

Answers

Is Correct?Answer
x

11 h 30 min

x

12 h 0 min

✓

12 h 45 min

x

13 h 15 min

Variant 4

DifficultyLevel

597

Question

Johnno and Zoey are driving from Wahroonga to Ballarat which is a distance of 825 kilometres.

After every two hours of driving, they rest for 20 minutes and swap drivers.

How long will their trip take if they average 100 km/h when driving?

Worked Solution

Driving time = 825100\dfrac{ 825 }{ 100 } = 8.25

Number of stops = 4
∴\therefore Total trip time = 8 h 15 m + (4 ×\times 20)
= 8 hr 15 m + 1 h 20 m
= 9 hr 35 min

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
people
Johnno and Zoey
place1
Wahroonga
place2
Ballarat
distance
825
rest
20
speed
100
time1
8.25
stops
4
working1
8 h 15 m + (4 $\times$ 20)
working2
8 hr 15 m + 1 h 20 m
correctAnswer
9 hr 35 min

Answers

Is Correct?Answer
x

8 hr 15 min

✓

9 hr 35 min

x

10 hr 15 min

x

10 hr 55 min