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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?
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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).
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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
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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.
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