Quant Exam > Quant Questions > Aravind started for the station half a km fro...
Start Learning for Free
Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?
- a)1.25
- b)1.1
- c)11/9
- d)2
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Aravind started for the station half a km from his home walking at 1 k...
Distance covered in 3 minutes = 3*(1000/60) = 50
Now he has to cover (500+50)m in (30-3) minutes
Required speed = (550/1000)/(27/60) = 11/9 km/h
Most Upvoted Answer
Aravind started for the station half a km from his home walking at 1 k...
Problem: Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeeded in catching the train. Find his latter speed in kmph?
Solution:
Let the speed at which Aravind returns to his home be x km/h.
Distance from home to station = 0.5 km
Time taken to walk to the station at 1 km/h = distance / speed = 0.5 / 1 = 0.5 hours
After 3 minutes = 3/60 = 1/20 hours, Aravind starts returning home.
Time taken to return home = 1/20 hours
Time taken to travel from home to station = 0.5 / x hours
Total time taken = 0.5 / 1 + 1/20 + 0.5 / x
As Aravind catches the train, the total time taken must be less than or equal to the time of the train's departure.
Let the train's departure time be T.
0.5 / 1 + 1/20 + 0.5 / x ≤ T
Simplifying, we get:
25 + x + 10 / x ≤ 20T
Simplifying further we get,
x² - 10x + 25 ≤ 0
(x - 5)² ≤ 0
Since x² - 10x + 25 is a perfect square, its minimum value is 0.
Therefore, the only possible value of x is 5 km/h.
Hence, Aravind's latter speed is 5 km/h or 11/9 km/h (approx).
Therefore, option C is correct.
Solution:
Let the speed at which Aravind returns to his home be x km/h.
Distance from home to station = 0.5 km
Time taken to walk to the station at 1 km/h = distance / speed = 0.5 / 1 = 0.5 hours
After 3 minutes = 3/60 = 1/20 hours, Aravind starts returning home.
Time taken to return home = 1/20 hours
Time taken to travel from home to station = 0.5 / x hours
Total time taken = 0.5 / 1 + 1/20 + 0.5 / x
As Aravind catches the train, the total time taken must be less than or equal to the time of the train's departure.
Let the train's departure time be T.
0.5 / 1 + 1/20 + 0.5 / x ≤ T
Simplifying, we get:
25 + x + 10 / x ≤ 20T
Simplifying further we get,
x² - 10x + 25 ≤ 0
(x - 5)² ≤ 0
Since x² - 10x + 25 is a perfect square, its minimum value is 0.
Therefore, the only possible value of x is 5 km/h.
Hence, Aravind's latter speed is 5 km/h or 11/9 km/h (approx).
Therefore, option C is correct.
Free Test
FREE
| Start Free Test |
Community Answer
Aravind started for the station half a km from his home walking at 1 k...
Distance covered in 3 minutes = 3*(1000/60) = 50
Now he has to cover (500+50)m in (30-3) minutes
Required speed = (550/1000)/(27/60) = 11/9 km/h
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer?
Question Description
Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. 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 Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer?.
Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. 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 Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer?.
Solutions for Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. 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 Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?a)1.25b)1.1c)11/9d)2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
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