Henry Ernest Dudeney/Modern Puzzles/40 - Pickleminster to Quickville

Modern Puzzles by Henry Ernest Dudeney: $40$

Pickleminster to Quickville

Two trains, $A$ and $B$, leave Pickleminster for Quickville at the same time as two trains, $C$ and $D$, leave Quickville for Pickleminster.

$A$ passes $C$ $120$ miles from Pickleminster and $D$ $140$ miles from Pickleminster.

$B$ passes $C$ $126$ miles from Quickville and $D$ half-way between Pickleminster and Quickville.

Now, what is the distance from Pickleminster to Quickville?

Every train runs uniformly at an ordinary rate.

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Locomotion and Speed Puzzles: $40$. -- Pickleminster to Quickville
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Speed & Distance Puzzles: $68$. Pickleminster to Quickville