Henry Ernest Dudeney/Puzzles and Curious Problems/68 - The Moving Staircase

Puzzles and Curious Problems by Henry Ernest Dudeney: $68$

The Moving Staircase

"I counted $50$ steps that I made in going down the moving staircase," said Walker.

"I counted $75$ steps," said Trotman; "but I was walking down three times as quickly as you."

If the staircase were stopped, how many steps would be visible?

It is assumed that each man travelled at a uniform rate, and the speed of the staircase was also constant.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Locomotion and Speed Puzzles: $68$. -- The Moving Staircase
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Speed & Distance Puzzles: $82$. The Escalator