CAT Exam > CAT Questions > Two trains are traveling towards each other o...
Start Learning for Free
Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.
When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?
- a)13 kmph
- b)12.5 kmph
- c)11 kmph
- d)12 kmph
- e)11.5 kmph
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two trains are traveling towards each other on the same track. One tra...
Both the trains are moving towards each other so the effective speed with which they approach each other is 15 kmph.
So the bee travelled for 83 hours.
Distance travelled by the bee is 1079 km.
Hence, option 1.
Most Upvoted Answer
Two trains are traveling towards each other on the same track. One tra...
Problem Analysis:
Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other. When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. We need to find the speed of the bee if the distance traveled by the bee is 1079 km.
Given:
Speed of the first train = 10 kmph
Speed of the second train = 5 kmph
Distance between the two trains when the bee leaves = 1245 km
Distance traveled by the bee = 1079 km
To find:
The speed of the bee
Solution:
Let us assume that the trains will meet after t hours.
The relative speed of the two trains is 10 + 5 = 15 kmph.
Hence, the distance between the two trains will decrease at a rate of 15 kmph.
So, the distance between the two trains is reduced to 1245 - 15t km when the bee reaches the other train.
Now, the bee starts flying back towards the first train. When it meets the first train, the distance between the two trains is 1245 - 2 * 1079 = -733 km (negative because the bee has crossed the two trains).
At this point, the two trains are approaching each other at a combined speed of 10 + 5 = 15 kmph, and the bee is flying towards the first train at a speed of v kmph. So, the distance between the bee and the first train is decreasing at a rate of 15 + v kmph.
So, we get the following equation:
-733 = t(15 + v)
Now, the bee starts flying back towards the second train. When it meets the second train, the distance between the two trains is 1245 - 2 * 1079 + 2 * 733 = 209 km.
At this point, the two trains are approaching each other at a combined speed of 10 + 5 = 15 kmph, and the bee is now flying towards the second train at a speed of v kmph. So, the distance between the bee and the second train is decreasing at a rate of 15 - v kmph.
So, we get the following equation:
209 = t(15 - v)
Now, we have two equations in two variables (t and v). Solving them, we get:
t = 29 hours
v = 13 kmph
Hence, the speed of the bee is 13 kmph.
Answer: Option A) 13 kmph
Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other. When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. We need to find the speed of the bee if the distance traveled by the bee is 1079 km.
Given:
Speed of the first train = 10 kmph
Speed of the second train = 5 kmph
Distance between the two trains when the bee leaves = 1245 km
Distance traveled by the bee = 1079 km
To find:
The speed of the bee
Solution:
Let us assume that the trains will meet after t hours.
The relative speed of the two trains is 10 + 5 = 15 kmph.
Hence, the distance between the two trains will decrease at a rate of 15 kmph.
So, the distance between the two trains is reduced to 1245 - 15t km when the bee reaches the other train.
Now, the bee starts flying back towards the first train. When it meets the first train, the distance between the two trains is 1245 - 2 * 1079 = -733 km (negative because the bee has crossed the two trains).
At this point, the two trains are approaching each other at a combined speed of 10 + 5 = 15 kmph, and the bee is flying towards the first train at a speed of v kmph. So, the distance between the bee and the first train is decreasing at a rate of 15 + v kmph.
So, we get the following equation:
-733 = t(15 + v)
Now, the bee starts flying back towards the second train. When it meets the second train, the distance between the two trains is 1245 - 2 * 1079 + 2 * 733 = 209 km.
At this point, the two trains are approaching each other at a combined speed of 10 + 5 = 15 kmph, and the bee is now flying towards the second train at a speed of v kmph. So, the distance between the bee and the second train is decreasing at a rate of 15 - v kmph.
So, we get the following equation:
209 = t(15 - v)
Now, we have two equations in two variables (t and v). Solving them, we get:
t = 29 hours
v = 13 kmph
Hence, the speed of the bee is 13 kmph.
Answer: Option A) 13 kmph
Free Test
FREE
| Start Free Test |
Community Answer
Two trains are traveling towards each other on the same track. One tra...
Total speed =10+5=15 kmph
distance between both train =1245km
time=1245/15= 83 hour
(bees also flied 83 hour )untill both train clash each other
distance travelled by bee 1079 km
speed of bee is =1079/83=13 kmph
Options :A ans
distance between both train =1245km
time=1245/15= 83 hour
(bees also flied 83 hour )untill both train clash each other
distance travelled by bee 1079 km
speed of bee is =1079/83=13 kmph
Options :A ans
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer?
Question Description
Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer?.
Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two trains are traveling towards each other on the same track. One train is traveling at 10 kmph and the other at 5 kmph. When the trains are 1245 km apart, a bee leaves one train and flies towards the other.When it reaches the other train it immediately travels back to the first. Upon returning, it immediately starts back to the second, and so on, until the both the trains crash. What is the speed of the bee if the distance travelled by the bee is 1079 km?a)13 kmphb)12.5 kmphc)11 kmphd)12 kmphe)11.5 kmphCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup