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 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles

Tags

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

Archive

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