Walk to the beach

Walk to the beach

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about working out time and average speed.

Toa, Jack, and Aria all decide to walk from their own homes to the beach. They all live different distances from the beach but agree to arrive at 1.00 p.m. They were all exactly on time.

  • Toa walks 12 km in 3 hours to get there.
  • Jack walks 15 km in 3 hours to get there.
  • Aria walks 10 km in 2 hours to get there.
 
a) At what time did they each set off on their walk to the beach?
 
 
Toa __________     Jack __________     Aria __________
 
b)  What is each person's average speed in kilometres per hour?
 
 
Toa __________     Jack __________     Aria __________
Task administration: 
This task is completed with pencil and paper only.
Copyright: 


Photo: © J.Fisher (2008), www.photokete.co.nz

Level:
4
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
rates, time, distances, speed
Description of task: 
Students answer questions about time and average speed given a rate of walking.
Curriculum Links: 
This resource can help to identify students' ability to apply multiplicative strategies flexibly to whole numbers, ratios and equivalent fractions in simple rate problem.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y7 (10/1996)

Y8 (10/1996)
a) Toa: 10 a.m., Jack: 10 a.m.,
Aria: 11 a.m.		 easy
(for all 3 correct)		 easy
(for all 3 correct)
b) Toa: 4 km per hour
Jack: 5 km per hour
Aria: 5 km per hour		 moderate
moderate
easy		 easy
easy
moderate