Railways Exam > Railways Questions > A person reaches his office 5 minutes late i...
Start Learning for Free
A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.
- a)50 km
- b)45 km
- c)30 km
- d)36 km
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 reaches his office 5 minutes late if he travels at 60 km/h a...
Speed ratio = 60 : 90 = 2 : 3
So, time ratio = 3 : 2
So we can assume the time as 3x and 2x.
Hence 3x - 2x = 10 + 5
Since here he is 5 minutes late and 10 minutes early, so the difference is the summation.
So 2x = 30 minutes.
Hence with a speed of 90 km/h, it takes 30 minutes, so the distance is 45 km.
Most Upvoted Answer
A person reaches his office 5 minutes late if he travels at 60 km/h a...
Given information:
- The person reaches his office 5 minutes late if he travels at 60 km/h.
- The person is 10 minutes early if the speed is 90 km/h.
To find:
The distance the person needs to travel.
Assumptions:
- The person travels at a constant speed throughout the journey.
- The person takes the same route to the office every day.
Let's solve the problem step by step:
Step 1: Convert the given information into time and speed.
- If the person travels at 60 km/h, he is 5 minutes late.
- If the person travels at 90 km/h, he is 10 minutes early.
Step 2: Calculate the time taken to travel the distance at different speeds.
- Let's assume the distance to be traveled is 'd'.
- At 60 km/h, the time taken will be (d/60) hours.
- At 90 km/h, the time taken will be (d/90) hours.
Step 3: Write the equations based on the given information.
- The person reaches his office 5 minutes late if he travels at 60 km/h:
- (d/60) hours = (5/60) hours
- The person is 10 minutes early if the speed is 90 km/h:
- (d/90) hours = (-10/60) hours
Step 4: Solve the equations to find the distance.
- From the first equation, (d/60) = (5/60).
- Cross multiply, d = 5 km.
- From the second equation, (d/90) = (-10/60).
- Cross multiply, d = -15 km.
Step 5: Choose the valid distance.
- Since distance cannot be negative, we discard the solution d = -15 km.
Answer:
The person needs to travel 50 km. Therefore, option 'A' is correct.
- The person reaches his office 5 minutes late if he travels at 60 km/h.
- The person is 10 minutes early if the speed is 90 km/h.
To find:
The distance the person needs to travel.
Assumptions:
- The person travels at a constant speed throughout the journey.
- The person takes the same route to the office every day.
Let's solve the problem step by step:
Step 1: Convert the given information into time and speed.
- If the person travels at 60 km/h, he is 5 minutes late.
- If the person travels at 90 km/h, he is 10 minutes early.
Step 2: Calculate the time taken to travel the distance at different speeds.
- Let's assume the distance to be traveled is 'd'.
- At 60 km/h, the time taken will be (d/60) hours.
- At 90 km/h, the time taken will be (d/90) hours.
Step 3: Write the equations based on the given information.
- The person reaches his office 5 minutes late if he travels at 60 km/h:
- (d/60) hours = (5/60) hours
- The person is 10 minutes early if the speed is 90 km/h:
- (d/90) hours = (-10/60) hours
Step 4: Solve the equations to find the distance.
- From the first equation, (d/60) = (5/60).
- Cross multiply, d = 5 km.
- From the second equation, (d/90) = (-10/60).
- Cross multiply, d = -15 km.
Step 5: Choose the valid distance.
- Since distance cannot be negative, we discard the solution d = -15 km.
Answer:
The person needs to travel 50 km. Therefore, option 'A' is correct.
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer?
Question Description
A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer?.
A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.a)50 kmb)45 kmc)30 kmd)36 kmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways 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