Quant Exam > Quant Questions > Two planes move along a circle of circumferen...
Start Learning for Free
Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.
- a)0.04 km/s
- b)0.03 km/s
- c)0.05 km/s
- d)0.02 km/s
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two planes move along a circle of circumference 1.2 km with constant s...
The sum of speeds would be 0.08 m/s (relative speed in opposite direction). Also if we go by
option (b), the speeds will be 0.03 and 0.05 m/s respectively.
At this speed the overlapping would occur every 60 seconds.
option (b), the speeds will be 0.03 and 0.05 m/s respectively.
At this speed the overlapping would occur every 60 seconds.
Most Upvoted Answer
Two planes move along a circle of circumference 1.2 km with constant s...
Given:
Circumference of the circle = 1.2 km
Time taken to meet when moving in different directions = 15 seconds
Time taken for one plane to overtake the other when moving in the same direction = 60 seconds
To find:
Speed of the slower plane
Solution:
Let the speeds of the two planes be x and y (where x is the speed of the slower plane)
When the planes move in different directions, the relative speed = x + y (since they are moving towards each other)
So, the distance covered in 15 seconds = circumference of circle = 1.2 km
Therefore, we can write the equation:
15(x+y) = 1.2
When the planes move in the same direction, the relative speed = y - x (since one plane overtakes the other)
So, the distance covered in 60 seconds = difference in their distances = circumference of circle = 1.2 km
Therefore, we can write the equation:
60(y-x) = 1.2
Solving the above two equations, we get:
x = 0.03 km/s and y = 0.07 km/s
Since we need to find the speed of the slower plane, the answer is x = 0.03 km/s
Hence, the correct answer is option B.
Note:
The solution can be easily solved by using the concept of relative speed and distance = speed x time.
Circumference of the circle = 1.2 km
Time taken to meet when moving in different directions = 15 seconds
Time taken for one plane to overtake the other when moving in the same direction = 60 seconds
To find:
Speed of the slower plane
Solution:
Let the speeds of the two planes be x and y (where x is the speed of the slower plane)
When the planes move in different directions, the relative speed = x + y (since they are moving towards each other)
So, the distance covered in 15 seconds = circumference of circle = 1.2 km
Therefore, we can write the equation:
15(x+y) = 1.2
When the planes move in the same direction, the relative speed = y - x (since one plane overtakes the other)
So, the distance covered in 60 seconds = difference in their distances = circumference of circle = 1.2 km
Therefore, we can write the equation:
60(y-x) = 1.2
Solving the above two equations, we get:
x = 0.03 km/s and y = 0.07 km/s
Since we need to find the speed of the slower plane, the answer is x = 0.03 km/s
Hence, the correct answer is option B.
Note:
The solution can be easily solved by using the concept of relative speed and distance = speed x time.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer?.
Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, oneplane over takes the other every 60 seconds. Find the speed of the slower plane.a)0.04 km/sb)0.03 km/sc)0.05 km/sd)0.02 km/sCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup