Quant Exam > Quant Questions > A person going from Pondicherry to Ootacamond...
Start Learning for Free
A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and 1(1/2) times that of the steamer. Find the speed of the train.
- a)20 kmph
- b)60 kmph
- c)10 kmph
- d)50 kmph
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A person going from Pondicherry to Ootacamond travels 120 km by steame...
If speed of horse is X, then speed of steamer = 2X and
Speed of train = 3X => (120/2x)+ (450/3x)+(60/x) = 13.5
=> X = 20 km/hr => 3X = 60 km/hr.
Most Upvoted Answer
A person going from Pondicherry to Ootacamond travels 120 km by steame...
Given data:
Total distance travelled = 120 km + 450 km + 60 km = 630 km
Total time taken = 13 hours 30 minutes = 13.5 hours
Let the speed of the steamer be x kmph.
Then, the speed of the horse transit = x/1.5 = 2x/3 kmph (as given, the speed of the train is 1.5 times that of the steamer)
And, the speed of the train = 2x kmph (as given, the speed of the train is three times that of the horse-transit)
Calculation:
Let's assume the time taken by the steamer, train, and horse transit are t1, t2, and t3 respectively.
Then, we have:
t1 + t2 + t3 = 13.5 hours - - - (1) (Total time taken)
t1 = 120/x - - - (2) (Time taken by steamer = Distance/Speed)
t2 = 450/2x - - - (3) (Time taken by train = Distance/Speed)
t3 = 60/(2x/3) = 90/x - - - (4) (Time taken by horse transit = Distance/Speed)
Substituting the values of t1, t2, and t3 in equation (1), we get:
120/x + 450/2x + 90/x = 13.5
Simplifying this equation, we get:
x = 60 kmph
Therefore, the speed of the train is 2x = 120 kmph.
Hence, the correct option is (b) 60 kmph.
Total distance travelled = 120 km + 450 km + 60 km = 630 km
Total time taken = 13 hours 30 minutes = 13.5 hours
Let the speed of the steamer be x kmph.
Then, the speed of the horse transit = x/1.5 = 2x/3 kmph (as given, the speed of the train is 1.5 times that of the steamer)
And, the speed of the train = 2x kmph (as given, the speed of the train is three times that of the horse-transit)
Calculation:
Let's assume the time taken by the steamer, train, and horse transit are t1, t2, and t3 respectively.
Then, we have:
t1 + t2 + t3 = 13.5 hours - - - (1) (Total time taken)
t1 = 120/x - - - (2) (Time taken by steamer = Distance/Speed)
t2 = 450/2x - - - (3) (Time taken by train = Distance/Speed)
t3 = 60/(2x/3) = 90/x - - - (4) (Time taken by horse transit = Distance/Speed)
Substituting the values of t1, t2, and t3 in equation (1), we get:
120/x + 450/2x + 90/x = 13.5
Simplifying this equation, we get:
x = 60 kmph
Therefore, the speed of the train is 2x = 120 kmph.
Hence, the correct option is (b) 60 kmph.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect answer is option 'B'. Can you explain this answer?
Question Description
A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect 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 A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect 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 A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect answer is option 'B'. Can you explain this answer?.
A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect 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 A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect 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 A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect 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 A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and1(1/2)times that of the steamer. Find the speed of the train.a)20 kmphb)60 kmphc)10 kmphd)50 kmphCorrect answer is option 'B'. 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