Leah, Madeline, Nevaeh and Evelyn have to walk through a long dark tunnel. They only have one torch between them so a maximum of two people can go through the tunnel at any one time. Each person takes a different amount of time to get through the tunnel and if two people walk together they must walk at the rate of the slowest.
Leah takes 3 minutes, Madeline takes 6 minutes, Nevaeh takes 10 minutes, Evelyn takes 12 minutes. What is the least amount of time for all four to walk through the tunnel? 
Notes: 
Example:
If Nevaeh and Evelyn walk through the tunnel together it will take 12
minutes, If Nevaeh then walks the torch back through the tunnel a total of 22 minutes will have passed. Continue till all four are at the other end of the tunnel.
Topics: Starter  Logic  Problem Solving  Puzzles
How did you use this starter? Can you suggest
how teachers could present or develop this resource? Do you have any comments? It is always useful to receive
feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.
If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:
This starter has scored a mean of 3.4 out of 5 based on 396 votes.
Previous Day  This starter is for 8 February  Next Day
33 minutes:
Leah and Madeline walk through taking 6 minutes
Leah walks back with the torch taking 3 minutes [9 minutes total]
Nevaeh and Evelyn walk through taking 12 minutes [21 minutes total]
Madeline walks back with the torch taking 6 minutes [27 minutes total]
Leah and Madeline walk through taking 6 minutes [33 minutes total]
Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter with different numbers and names.
Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.
GCSE Revision and PracticeWhatever exam board you use for GCSE Mathematics, this book by David Rayner remains an allround winner. With this latest edition presented in full colour and completely updated for the new GCSE(91) specifications, this uniquely effective text continues to increase your chance of obtaining a good grade. This book is targeted at the Higher tier GCSE, and provides a wealth of practice with careful progression, alongside substantial revision support for the newstyle grading and exam questions. With all the new topics included, and a dedicated section on using and applying mathematics, this unique resource can be used either as a course book over two or three years or as a revision text in the runup to exams. more... 
Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Transum.org/go/?Start=February8
Here is the URL which will take them to Tran Tunnels, a mathematical adventure.