mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Let the passenger train through!

A goods train, made up of a locomotive and 5 trucks, stops at a small station. The small station has a siding which the goods train can reverse into. The siding can hold an engine and two trucks or three trucks.
A passenger train arrives travelling in the opposite direction. How can they let it through? (The passenger train is too long to fit in the siding.)

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths XXIII,
puzzles about , or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

averages grids cube numbers determinants cards shapes geometry christmas gerrymandering irreducible numbers factorials partitions hexagons square roots money parabolas games chalkdust crossnumber binary logic ave functions bases quadrilaterals coins algebra perimeter remainders volume tiling percentages calculus fractions consecutive integers doubling area pentagons perfect numbers time albgebra odd numbers squares arrows advent regular shapes sets cubics cryptic clues expansions probability routes triangles factors numbers integration differentiation number geometric means tangents rectangles elections sport triangle numbers polygons planes coordinates products multiplication mean palindromes symmetry addition digital products matrices scales rugby books means range dice division tournaments prime numbers dominos unit fractions clocks trigonometry proportion 2d shapes ellipses balancing combinatorics geometric mean floors probabilty chess polynomials even numbers square numbers 3d shapes decahedra crossnumber crossnumbers angles shape menace spheres sum to infinity circles graphs speed crosswords dodecagons lines median digital clocks cryptic crossnumbers colouring wordplay digits indices the only crossnumber multiples surds sums pascal's triangle taxicab geometry complex numbers integers dates consecutive numbers quadratics chocolate star numbers people maths sequences folding tube maps axes

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024