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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?
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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.
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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
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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?.
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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
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