Dirty work

Timothy, Urban, and Vincent are digging identical holes in a field.
When Timothy and Urban work together, they dig 1 hole in 4 days.
When Timothy and Vincent work together, they dig 1 hole in 3 days.
When Urban and Vincent work together, they dig 1 hole in 2 days.
Working alone, how long does it take Timothy to dig one hole?

Show answer & extension


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


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


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