Friday, February 17, 2012
For a pre-weekend puzzle I've adapted this algebraic riddle from a Math Mom's puzzle of a couple of months back:
Taylor Swift's traveling bus is coming down Melody Blvd. one day, and one of her fans wants to estimate the length of the vehicle while it is steadily, uniformly moving. He walks alongside the moving bus from back to front (same direction as bus is moving), at a consistent speed, and counts 30 steps. Then, immediately, he turns back and walks alongside the bus in the opposite direction, requiring only 15 steps to reach the back end (at the same speed). If every step he takes is consistently 2 feet, then what is the length of the bus?
I'll put Math Mom's approach to a solution in the comments (I computed it slightly differently, but arriving at same answer).