Geometry, NAPX-F4-CA30 SA

Question

5 towns are drawn in the diagram below and labelled T1 to T5.

The range of travel times between towns is shown on the diagram.



What is the shortest possible travel time from T1 to T5?

Worked Solution

34 minutes

Consider possible routes:

T1 → T2 → T4 → T5

= 13 + 12 + 11

= 36 mins


T1 → T3 → T4 → T5

= 18 + 6 + 11

= 35 mins


T1 → T2 → T3 → T4 → T5

= 13 + 4 + 6 + 11

= {{{correctAnswer0}}} {{{suffix0}}}

Variant 0

DifficultyLevel

721

Question

5 towns are drawn in the diagram below and labelled T1 to T5.

The range of travel times between towns is shown on the diagram.



What is the shortest possible travel time from T1 to T5?

Worked Solution

34 minutes

Consider possible routes:

T1 → T2 → T4 → T5

= 13 + 12 + 11

= 36 mins


T1 → T3 → T4 → T5

= 18 + 6 + 11

= 35 mins


T1 → T2 → T3 → T4 → T5

= 13 + 4 + 6 + 11

= 34 mins

Question Type

Answer Box

Variables

Variable nameVariable value
correctAnswer0
34
prefix0
suffix0
mins

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer034

mins

Tags