mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

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

If you enjoyed this puzzle, check out Sunday Afternoon Maths XXX,
puzzles about numbers, 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

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

Archive

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