top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Puzzle: How fast train was going?

+5 votes
331 views

Suppose 2 boys are walking in the woods and they decide to take a shortcut through a railroad tunnel. They had walked 2/3 of the way through the tunnel, but then something horrible happened: a train was coming in the opposite direction towards the 2 boys, and it was coming close to the other entrance of the tunnel. Each boy ran in a different direction to get out of the tunnel and avoid the incoming train. Each boy ran at the same exact speed of 10 miles per hour, and each boy managed to escape the train at the exact instant in which the train would have hit and killed him. If the train was moving at a constant speed and each boy was capable of instantaneous acceleration, then how fast was the train going?

posted Jan 18, 2014 by Neeraj Pandey

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

+1 vote

30 miles per hour is the speed of the train.

Logic: use below line as clue
each boy managed to escape the train at the exact instant in which the train would have hit and killed him

let A is running toward the train and B is moving in opposite direction.
So the distance which A has to cover=1-2/3=1/3
the distance which B has to cover=2/3
and speed of A and B is same hence A and B will cover the same distance 1/3,
A just escaped when train is at the entrance of the tunnel hence remaining distance for B is 2/3-1/3=1/3

Now B will cover 1/3 and train will cover 2/3 for the clue line to be true
hence train will run 3 times faster then B

answer Jan 19, 2014 by Atul Mishra



Similar Puzzles
+1 vote

Camp Pineveiw's cook, Margaret Johnson, was just about to begin preparing the picnic lunch for all the campers. She already knew she needed to fill 55 bowls of the same size and capacity with the same amount of food. When she was done, she decided to read the guidelines for the picnic, just out of curiosity. The guidelines said:

  1. Every camper gets their own bowl of soup.
  2. Every two campers will get one bowl of spaghetti to share.
  3. Every three campers will get one bowl of salad to share.
  4. All campers are required to have their own helping of salad, spaghetti, and soup.

After some rapid calculations, Margaret was able to figure out how many campers were going to the picnic. Can you?

+7 votes

You entered a train - you saw 7 girls, each girl has 7 bags, in each bag there are 7 big cats. Each big cat has 7 little cats and each cat has 4 legs. Calculate the legs in the train?

0 votes

What’s going on in this figure? How is there a missing square?
enter image description here

+2 votes

Multiplication of 5 different integers is 12, then what are those integers.

+1 vote

How will u divide 1000 one $ coins in ten bag so that u can give any amount between 1-1000 by just giving the bags without changing the no of coins in each bag.

...