Defence Exam > Defence Questions > Walking at 5th/7 of his usual speed a man is ...
Start Learning for Free
Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance is
- a)12 minutes
- b)15 minutes
- c)20 minutes
- d)30 minutes
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Walking at 5th/7 of his usual speed a man is 12 minutes too late. His ...
Distance = Speed × Time
Let the distance be x km
Let the speed be s km/hr
Time taken = x/s
New speed = 5s/7
Time taken = (x/s + (12/60)) hr
x = (5s/7) × (x/s + (12/60))
7x/5s - x/s = 1/5
2x/5s = 1/5
x/s = 0.5 hr
Time taken normally = x/s = 0.5 hr = 30 min
Let the distance be x km
Let the speed be s km/hr
Time taken = x/s
New speed = 5s/7
Time taken = (x/s + (12/60)) hr
x = (5s/7) × (x/s + (12/60))
7x/5s - x/s = 1/5
2x/5s = 1/5
x/s = 0.5 hr
Time taken normally = x/s = 0.5 hr = 30 min
Most Upvoted Answer
Walking at 5th/7 of his usual speed a man is 12 minutes too late. His ...
Given Information:
- A man is walking at 5/7 of his usual speed.
- He is 12 minutes too late.
- The usual time to cover this distance is to be found.
Let's solve the problem step by step:
Step 1: Understanding the problem
- The man is walking at a reduced speed (5/7) compared to his usual speed.
- Due to this reduced speed, he is 12 minutes late in reaching the destination.
- We need to find his usual time to cover this distance.
Step 2: Understanding the relationship between speed, time, and distance
- The relationship between speed, time, and distance is given by the formula:
Distance = Speed × Time
Step 3: Let's assume:
- Let the usual speed of the man be 'S' units.
- Let the usual time taken to cover the distance be 'T' units.
Step 4: Understanding the given information using the assumed variables
- The man is walking at 5/7 of his usual speed, which means his current speed is (5/7)S units.
- The man is 12 minutes late, so his current time taken to cover the distance is (T + 12) units.
Step 5: Applying the formula
- Using the formula Distance = Speed × Time, we can write the equation as:
Distance = (5/7)S × (T + 12)
Step 6: Analyzing the equation
- The distance remains the same, regardless of the speed or time.
- The distance can be canceled out from both sides of the equation.
Step 7: Simplifying the equation
- (5/7)S × (T + 12) = S × T
- 5(T + 12) = 7T
- 5T + 60 = 7T
- 60 = 7T - 5T
- 60 = 2T
Step 8: Solving for T (usual time)
- Dividing both sides of the equation by 2, we get:
T = 60/2
T = 30
Step 9: Answer
- The usual time taken to cover this distance is 30 minutes.
- Therefore, the correct answer is option 'D' (30 minutes).
- A man is walking at 5/7 of his usual speed.
- He is 12 minutes too late.
- The usual time to cover this distance is to be found.
Let's solve the problem step by step:
Step 1: Understanding the problem
- The man is walking at a reduced speed (5/7) compared to his usual speed.
- Due to this reduced speed, he is 12 minutes late in reaching the destination.
- We need to find his usual time to cover this distance.
Step 2: Understanding the relationship between speed, time, and distance
- The relationship between speed, time, and distance is given by the formula:
Distance = Speed × Time
Step 3: Let's assume:
- Let the usual speed of the man be 'S' units.
- Let the usual time taken to cover the distance be 'T' units.
Step 4: Understanding the given information using the assumed variables
- The man is walking at 5/7 of his usual speed, which means his current speed is (5/7)S units.
- The man is 12 minutes late, so his current time taken to cover the distance is (T + 12) units.
Step 5: Applying the formula
- Using the formula Distance = Speed × Time, we can write the equation as:
Distance = (5/7)S × (T + 12)
Step 6: Analyzing the equation
- The distance remains the same, regardless of the speed or time.
- The distance can be canceled out from both sides of the equation.
Step 7: Simplifying the equation
- (5/7)S × (T + 12) = S × T
- 5(T + 12) = 7T
- 5T + 60 = 7T
- 60 = 7T - 5T
- 60 = 2T
Step 8: Solving for T (usual time)
- Dividing both sides of the equation by 2, we get:
T = 60/2
T = 30
Step 9: Answer
- The usual time taken to cover this distance is 30 minutes.
- Therefore, the correct answer is option 'D' (30 minutes).
|
Explore Courses for Defence exam
|
|
Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer?
Question Description
Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer?.
Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Walking at 5th/7 of his usual speed a man is 12 minutes too late. His usual time to cover this distance isa)12 minutesb)15 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence 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