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 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020