Henry Ernest Dudeney/Puzzles and Curious Problems/70 - The Donkey Cart

Puzzles and Curious Problems by Henry Ernest Dudeney: $70$

The Donkey Cart

Atkins, Brown and Cranby had to go an journey of $40$ miles.

Atkins could walk $1$ mile an hour,

Brown could walk $2$ miles an hour,

and Cranby could go in his donkey-cart at $8$ miles an hour.

Cranby drove Atkins a certain distance, and, dropping him to walk the remainder,

drove back to meet Brown on the way and carried him to their destination,

where they all arrived at the same time.

How long did the journey take?

Of course, each went at a uniform rate throughout.

Also see

• Henry Ernest Dudeney/Modern Puzzles/37 - A Side-car Problem, exactly the same problem but with different numbers

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Locomotion and Speed Puzzles: $70$. -- The Donkey Cart
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Speed & Distance Puzzles: $84$. The Donkey Cart