Open In App

Puzzle 3 | (Calculate total distance travelled by bee)

Last Updated : 19 Jan, 2023
Summarize
Comments
Improve
Suggest changes
Like Article
Like
Save
Share
Report
News Follow

Puzzle: Two trains are on same track and they are coming toward each other. The speed of the first train is 50 km/h and the speed of the second train is 70 km/h. A bee starts flying between the trains when the distance between two trains is 100 km. The bee first flies from first train to second train. Once it reaches the second train, it immediately flies back to the first train … and so on until trains collide. Calculate the total distance travelled by the bee. Speed of bee is 80 km/h. 

  
  
  
  

Answer: 66.67 km approx. 

Solution: 
 

 

  • Let the first train A move at u km/h.

 

  • Let the second train B move at v km/h.

 

  • Let the distance between two trains be d km

 

  • Let the speed of bee be b km/h

 

  • Therefore, the time taken by trains to collide = d/(u+v)

Now putting all the known values into the above equation, we get, 
 

u = 50 km/hr
v = 70 km/hr
d = 100 km
b = 80 km/hr

Therefore, the total distance travelled by bee 
= b*d/(u+v) 
= 80 * 100/(50+70) 
= 66.67 km (approx)

Another Solution:

Another easier approach to solve this can be by using the concept of relative velocity:

With respect to Train A, train B’s velocity is (70+50) = 120 km/hr. Thus, the time taken by Train B to collide with Train A will be

 (100 km) / (120 km/hr)  = 5/6 hr = 50 min

 Now, since the velocity of the bee is 80 km/hr, the distance travelled by the bee in this time interval will be

 80 km/hr * 5/6 hr = 66.67 km (approx)

Point to note –

The key point to note in this puzzle is that the bee will keep travelling from one train to another as it’s speed is greater than both the train’s speed. Thus we only need to find the time it takes for both the trains to collide and this time will be same as the time bee is flying and thus it has nothing to do with the point at which the trains collide. 

 


Previous Article
Next Article

Similar Reads

Puzzle | Three Brothers Travelled by Road
Question : Three brothers, R, S and M, travelled by road. They all left the college at the same time - 12 noon. The description of the motions of the three are detailed below - Name R S M Phase I Bus for 2 hours @ 10 mph Bike for 1 hour @ 30 mph Foot for 3 hours @ 3.33 mph Phase II Bike for 1.5 hours @ 40 mph Foot for 3 hours @ 3.33 mph Bus for 3 h
4 min read
Puzzle | Supersonic Bee and Trains
Puzzle: There are two trains(Train A and Train B) running on the same track towards each other at a speed of 100 km/hr. They enter a tunnel 200 km long at the same time. As soon as they enter, a supersonic bee flying at a rate of 1000 km/hr also enters the tunnel from one side (say Train A side). The bee flies towards the other Train B and as soon
2 min read
Puzzle | Guess the total number of coins
There are 10 robbers named as'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J' they stole some coins from a bank and they decided to divide these coins equally among themselves. So they divide the coins into 10 parts but the last robber 'J' got 1 coin less than other robbers. So the remaining 9 robbers murder 'J'. They again decided to divide the co
2 min read
Puzzle | Man fell in well Puzzle
A man fell in a 50m deep well. He climbs 4 meters up and slips 3 meters down in one day. How many days would it take for him to come out of the well? Answer: 47days Explanation: On the first day, the man climbs 4 meters up and slips 3 meters down, therefore he only climbs 1 meter up totally.On the second day, again he climbs 1 meter up, so the tota
1 min read
Puzzle - A LITTLE TRAIN PUZZLE
A nonstop express going sixty miles an hour starts from Bustletown for Ironchester, and another nonstop express going forty miles an hour starts at the same time from Ironchester for Bustletown. How far apart are they exactly an hour before they meet?Because the two stations cannot be found on any map or gazetteer, we cannot state the distance betw
1 min read
Puzzle | The Einstein's Puzzle
Einstein's puzzle is a famous logic puzzle that was supposedly created by Albert Einstein as a boy. The puzzle goes as follows:There are five houses in a row, each with a different color. In each house lives a person of a different nationality. The five owners drink a certain type of beverage, smoke a certain brand of cigar, and keep a certain pet.
4 min read
Puzzle 15 | (Camel and Banana Puzzle)
A person has 3000 bananas and a camel. The person wants to transport the maximum number of bananas to a destination which is 1000 KMs away, using only the camel as a mode of transportation. The camel cannot carry more than 1000 bananas at a time and eats a banana every km it travels. What is the maximum number of bananas that can be transferred to
4 min read
Puzzle 24 | (10 Coins Puzzle)
You are blindfolded and 10 coins are placed in front of you on the table. You are allowed to touch the coins but can’t tell which way up they are by feel. You are told that there are 5 coins head up, and 5 coins tails up but not which ones are which. Can you make two piles of coins each with the same number of heads up? You can flip the coins any n
1 min read
Puzzle 27 | (Hourglasses Puzzle)
Puzzle: Given two hourglass of 4 minutes and 7 minutes, the task is to measure 9 minutes. Solution: At 0 minutes: Start both hourglasses at the same time. At 4 minutes: 4 minutes hourglass runs out and flip it. 7 minutes hourglass is left with 3 minutes. At 7 minutes: 4 minutes hourglass is left with 1 minute. 7 minutes hourglass runs out and flip
1 min read
Puzzle 28 | (Newspaper Puzzle)
Question: A newspaper made of 16 large sheets of paper folded in half. The newspaper has 64 pages altogether. The first sheet contains pages 1, 2, 63, 64. If we pick up a sheet containing page number 45. What are the other pages that this sheet contains? Answer: On the back of 45, it is 46. The pages are such that for each page p, 65-p will be also
1 min read
Puzzle 31 | (Minimum cut Puzzle)
Puzzle: You have got someone working for you for five days and a gold bar to pay him. You must give them a piece of gold at the end of every day. What are the fewest number of cuts to the bar of gold that will allow you to pay him 1/5th each day? Answer: 2 cuts. Solution: Explanation 1: After two cut there are three pieces of [1 unit and two 2 unit
2 min read
Puzzle 33 | ( Rs 500 Note Puzzle )
A Lady (L) bought an item of Rs 100 from the Shopkeeper (C). She paid him through a 500 Rs Note. Realizing that he did not have change, the shopkeeper C got change for that note from another shopkeeper (S) and paid Rs 400 to the Lady. After a few days, S realized that the note is fake, And this railed at C and took 500 Rs back from him. So in this
1 min read
Puzzle 36 | (Matchstick Puzzle)
Question: How to make 4 equilateral triangles with 6 identical match sticks? Method - I: Make a tetrahedron. Method-II: Method - III: Make one equilateral triangle by three sticks . then put each remaining stick on straight line passing through middle points of each two arms of triangle. Method IV: https://youtu.be/DqLOC85SVHQ
1 min read
Puzzle 38 | (Tic Tac Toe Puzzle)
Statement: The game of Tic-Tac-Toe is being played between two players and it is in below state after six moves. Can you answer following questions? Who will win the game, O or X? Which was the sixth mark and at which position? Assume that both the players are intelligent enough. Solution: O will win the game. The sixth mark was X in square 9. Expl
1 min read
Puzzle 39 | (100 coins puzzle)
This puzzle is similar to 10 Coins Puzzle. Question: 100 coins are lying flat on a table. 10 of them are heads up and 90 are tails up.You can't see which one is which.How can we split the coins into two piles such that there are same number of heads up in each pile? Note: It is allowed to flip the coins of one pile once. Answer: Make 2 piles with 1
1 min read
Puzzle 51| Cheryl’s Birthday Puzzle and Solution
(Wiki) Cheryl's Birthday is the unofficial name given to a mathematics brain teaser that was asked in the Singapore and Asian Schools Math Olympiad, and was posted online on 10 April 2015 by Singapore TV presenter. It is an interesting problem and might be asked in the interviews. It is based on logical deduction. It doesn’t require any prior mathe
3 min read
Puzzle 85 | Chain Link Puzzle
You have five pieces of chain, each consisting of three links. You want to make one long chain of these five pieces. Breaking open a link costs 1 Rs, and welding an open link costs 3 Rs. Is it possible to make one long chain of the five pieces, if you have just 15 Rs? Solution: Let us name the chains as 1, 2, 3, 4, 5 each having three links. Take c
1 min read
Puzzle | 3 Priests and 3 devils Puzzle
There are 3 devils and 3 Priests.They all have to cross a river in a boat.Boat can only carry two people at a time.As long as there are equal number of devils and priests,then devils will not eat Priest.If the number of devils are greater than the number of priests on the same side of the river then devils will eat the priests.So how can we make al
2 min read
Puzzle - "Rocky and Sam's Avian Puzzle: A Feathery Conundrum"
In a little town called Puzzleville, where puzzles and brain teasers made every day exciting, two friends, Rocky and Sam, got caught up in a tricky puzzle about flying birds. Sam, being curious, asked Rocky a question that led them on an adventure to solve the mystery of the birds in the sky. The Puzzle"Rocky," Sam began, his eyes sparkling with ex
2 min read
Puzzle 29 | (Car Wheel Puzzle)
Puzzle: A car has 4 tyres and 1 spare tyre. Each tyre can travel a maximum distance of 20000 km before wearing off. What is the maximum distance the car can travel before you are forced to buy a new tyre? You are allowed to change tyres (using the spare tyre) an unlimited number of times.   Answer: 25000 kmsSolution: Divide the lifetime of the spar
6 min read
Puzzle 81 | 100 people in a circle with gun puzzle
100 people standing in a circle in an order 1 to 100. No. 1 has a sword. He kills the next person (i.e. No. 2) and gives the sword to the next (i.e. No. 3). All people do the same until only 1 survives. Which number survives at the last? There are 100 people starting from 1 to 100. Solution: 73rd person will survive at last Explanation 1 (intuitive
8 min read
Puzzle 34 | (Prisoner and Policeman Puzzle)
Policeman decided to punish the Prisoner and asked him to make a statement. The Prisoner should make such a statement so that he would be alive. If the statement is held true by Policeman, the Prisoner will be hanged to death and if the statement is held false, the Prisoner will be shot dead. Answer: The Prisoner said, 'I will be shot dead'. If the
1 min read
Puzzle | Elevator Puzzle
A man works on the 10-th floor and takes the elevator down to ground level at the end of the day. Yet every morning, he only takes the elevator to the 7th floor, even when in a hurry. But he goes all the way to the 10-th floor when others are in the elevator with him or it is a rainy day. Why? Solution: He is too short to reach the "10" button on t
1 min read
Puzzle | Minimum distance for Lizard
A lizard is present on one corner of cube, It wants to reach diagonally opposite corner of cube. You have to calculate minimum distance lizard has to cover to reach its destination.Note : Lizard can't fly, it moves along the wall.You are given a representing side of cube.you have to calculate minimum distance lizard has to travel. Examples: Input :
3 min read
Puzzle | Find The Probability of Distance in a Square
Given 6 point inside a square of side 10cm, what is the probability that there exist at least two points whose distance is less than 8cm? Asked In: FICO Answer: 1 Explanation: The logic of the solution is that if you draw 6 points inside a square of 10 cm then it's sure that there are at least two points within 8cm. Imagine if you draw four points
1 min read
Puzzle | ( Distance, Time and Work)
Puzzle : (Distance) There is one scooter which has 2 tyres and one Stepney (i.e. a total of 3 tyres). Each tyre can run up to a maximum of 5 km. How long will the scooter run? Solution : 7.5 km EXPLANATION : First, ride a scooter for 2.5 km and change the 1st tyre with Stepney. Now km remaining for 1st tyre is 2.5 km, 2nd tyre is 2.5 km and Stepney
2 min read
Puzzle 2 | (Find the ages of daughters)
Alok has three daughters. His friend Shyam wants to know the ages of his daughters. Alok gives him a first hint. 1. The product of their age is 72. Shyam says this is not enough information Alok gives him a second hint. 2. The sum of their ages is equal to my house number. Shyam goes out and looks at the house number and tells “I still do not have
2 min read
Puzzle 11 | ( 1000 Coins and 10 Bags )
A dealer has 1000 coins and 10 bags. He has to divide the coins over the ten bags so that he can make any number of coins simply by handing over a few bags. How must divide his money into the ten bags? Solution: The idea of filling coins in the powers of 2 can be get from the condition that was given the question that each bag can be given or not g
2 min read
Puzzle 20 | (5 Pirates and 100 Gold Coins)
There are 5 pirates, they must decide how to distribute 100 gold coins among them. The pirates have seniority levels, the senior-most is A, then B, then C, then D, and finally the junior-most is E. Rules of distribution are: The most senior pirate proposes a distribution of coins.All pirates vote on whether to accept the distribution.The distributi
2 min read
Puzzle 70 | Tom and Jerry
Once upon a time Tom and Jerry thought of having a race on a circular track. The diameter of the track was 200 yards. They both started from same starting point. Tom being confident did not move until he found jerry has moved 1/8-th of the distance.Now Tom starts to move and meets jerry on the circular track. Tom finds that at this point of time ,h
1 min read
three90RightbarBannerImg