The Bridge and Flashlight Puzzle

Four people need to cross a rickety bridge at night, but they must use a single flashlight to see where they’re going. The bridge can only hold two people at a time, and both must move at the speed of the slower person. The flashlight must always be carried across the bridge, meaning someone must bring it back for the next group.

Each person takes a different time to cross:

  • Person A: 1 minute
  • Person B: 2 minutes
  • Person C: 5 minutes
  • Person D: 10 minutes

How can all four people cross the bridge in just 17 minutes?

Steps to Cross in 17 Minutes:

  1. A & B cross first (2 minutes) → A carries the flashlight.
    • Now A & B are on the far side.
  2. A returns with the flashlight (1 minute) → Now only A is on the starting side.
  3. C & D cross together (10 minutes) → B holds the flashlight.
    • Now C & D are on the far side with B.
  4. B returns with the flashlight (2 minutes) → Now only B is on the starting side.
  5. A & B cross again (2 minutes) → Now everyone is on the far side.

Total Time:

2 + 1 + 10 + 2 + 2 = 17 minutes

16
10

The Train and the Birds Puzzle

Two trains are 50 miles apart, traveling toward each other at 25 miles per hour each. A bird starts flying from the front of one train at 100 miles per hour, flying back and forth between the two trains until they collide. How far does the bird travel before the collision?

The bird travels 100 miles before the trains collide.

Explanation:

Instead of calculating each individual leg of the bird’s flight, let’s take a simpler approach using time.

  1. Time until collision:

    • The two trains are 50 miles apart, moving toward each other at 25 mph each.
    • Their combined closing speed is 25 mph + 25 mph = 50 mph.
    • Since they are 50 miles apart, they will collide in 1 hour (50 miles ÷ 50 mph = 1 hour).
  2. Distance traveled by the bird:

    • The bird flies at 100 mph for the entire 1 hour before the trains collide.
    • Since speed × time = distance, the bird travels: 100 mph×1 hour=100 miles.100 \text{ mph} \times 1 \text{ hour} = 100 \text{ miles}.
13
11

The Fishing Trip Puzzle

Two fathers and two sons go fishing. Each catches one fish, but at the end of the trip, they have only three fish in total. How is this possible?

They are a grandfather, a father, and a son—three people total.

69
12

The Three-Foot Mystery

I have three feet, but I can’t stand without leaning. I have no arms to hold me up. What am I?

A yardstick.

49
13

The Everything and Nothing Riddle

Turn me on my side, and I am everything. Cut me in half, and I am nothing. What am I?

The number 8.

24
28