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.


Show me a random puzzle
 Most recent collections 

Advent calendar 2020

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2021