# Bus Ticket

Every hour, on the hour, a bus leaves town A and heads toward town B.
Every hour, on the hour, another bus leaves town B and heads toward town A.
The trip between the two towns takes exactly two hours.

If you’re on a bus traveling from point A to point B, how many busses will you pass?
Note: All buses are on time leaving and arriving.

### 9 guesses to Bus Ticket

• Vikram

2. One at 1/4th distance and one at 3/4th distance after 30 mins and 90 mins respectively.

• Bill

3. One arriving just as the bus you are on is leaving. One at precisely the 1 hour mark. One just as you arrive at the other city.

• Dude

Nope and Nope.

Keep trying.

• Rob J

One (:

• Dude

• Bill

0. You don’t “pass” (as in overtake) any other buses. You do, however, meet a few going the opposite direction.

• Tiffy

Five:

Let’s say you left at 3:00 from town A.

At 3:00, you pass a bus which left at 1:00 from town B to A, and just finished its two-hour travel.

At 3:30, you pass a bus which left at 2:00 from town B and is 3/4 its way to town A while you are 1/4 of your way to town B.

At 4:00, you pass a bus which left at 3:00 from town B to A and is halfway just like your bus.

At 4:30, you pass a bus which left at 4:00 from town B to A and is 1/4 its way to town A while you are 3/4 of your way to town B.

At 5:00, you pass a bus which is about to leave town B and traveled no distance while you just finished your trip.

All in all, you passed five buses :) no matter what time you started :)

• Dude

Tiffy, you hit the nail on the head!

Five buses is correct, for the exact reasons you’ve stated.

You’re today’s winner.

• You pass one bus