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A man driving at 2/3rd of his original speed reaches his destination 30 minutes later than the usual time. Then the usual time is:
- a)45 minutes
- b)90 minutes
- c)60 minutes
- d)120 minutes
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A man driving at 2/3rd of his original speed reaches his destination 3...
Given:
A man driving at 2/3rd of his original speed reaches his destination 30 minutes later than the usual time.
To find:
The usual time taken to reach the destination.
Solution:
Let's assume the usual time taken to reach the destination at the original speed is 'x' minutes.
Step 1: Calculate the time taken at 2/3rd of the original speed
The man is driving at 2/3rd of his original speed, which means he is covering 2/3rd of the distance in the same amount of time it would take him to cover the full distance at his original speed.
So, the time taken at 2/3rd of the original speed = x minutes.
Step 2: Calculate the extra time taken
The man reaches his destination 30 minutes later than the usual time.
So, the extra time taken = 30 minutes.
Step 3: Calculate the distance
We know that speed = distance/time.
Since the man is driving at 2/3rd of his original speed, the speed at which he is driving is (2/3) * original speed.
Let's assume the distance to be 'd'.
So, (2/3) * original speed = d/(x + 30) [Equation 1]
And, original speed = d/x [Equation 2]
Step 4: Equate the distances
Since the distance covered is the same in both cases, we can equate the distances.
d/(x + 30) = d/x
Simplifying this equation, we get:
x + 30 = x
30 = x - x
30 = 0
This is not possible, so our assumption that the man reaches his destination 30 minutes later than the usual time is incorrect.
Conclusion:
There is no valid solution for this problem.
A man driving at 2/3rd of his original speed reaches his destination 30 minutes later than the usual time.
To find:
The usual time taken to reach the destination.
Solution:
Let's assume the usual time taken to reach the destination at the original speed is 'x' minutes.
Step 1: Calculate the time taken at 2/3rd of the original speed
The man is driving at 2/3rd of his original speed, which means he is covering 2/3rd of the distance in the same amount of time it would take him to cover the full distance at his original speed.
So, the time taken at 2/3rd of the original speed = x minutes.
Step 2: Calculate the extra time taken
The man reaches his destination 30 minutes later than the usual time.
So, the extra time taken = 30 minutes.
Step 3: Calculate the distance
We know that speed = distance/time.
Since the man is driving at 2/3rd of his original speed, the speed at which he is driving is (2/3) * original speed.
Let's assume the distance to be 'd'.
So, (2/3) * original speed = d/(x + 30) [Equation 1]
And, original speed = d/x [Equation 2]
Step 4: Equate the distances
Since the distance covered is the same in both cases, we can equate the distances.
d/(x + 30) = d/x
Simplifying this equation, we get:
x + 30 = x
30 = x - x
30 = 0
This is not possible, so our assumption that the man reaches his destination 30 minutes later than the usual time is incorrect.
Conclusion:
There is no valid solution for this problem.
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A man driving at 2/3rd of his original speed reaches his destination 30 minutes later than the usual time. Then the usual time is:a)45 minutesb)90 minutesc)60 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer?
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A man driving at 2/3rd of his original speed reaches his destination 30 minutes later than the usual time. Then the usual time is:a)45 minutesb)90 minutesc)60 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A man driving at 2/3rd of his original speed reaches his destination 30 minutes later than the usual time. Then the usual time is:a)45 minutesb)90 minutesc)60 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man driving at 2/3rd of his original speed reaches his destination 30 minutes later than the usual time. Then the usual time is:a)45 minutesb)90 minutesc)60 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer?.
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