Henry Ernest Dudeney/Modern Puzzles/28 - Hill Climbing

Modern Puzzles by Henry Ernest Dudeney: $28$

Hill Climbing

Weary Willie went up a certain hill at the rate of $1 \tfrac 1 2$ miles per hour

and came down at the rate of $4 \tfrac 1 2$ miles per hour,

so that it took him just $6$ hours to make the double journey.

Now, how far was it to the top of the hill?

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Locomotion and Speed Puzzles: $28$. -- Hill Climbing
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Speed & Distance Puzzles: $56$. Hill Climbing