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One day Ram starts to his office half an hour late. In order to reach in time, he increased his speed by 50%. But he reached office 15 minutes earlier than his usual time. How much time does Ram normally take to reach office?
- a)120 minutes
- b)125 minutes
- c)130 minutes
- d)135 minutes
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
One day Ram starts to his office half an hour late. In order to reach ...
Let Ram's usual speed be x m per minute New speed = 1.5x m per minute With speed 1.5x m per minute, he took 30 + 15 = 45 minutes less than the normal time to cover the same distance.
Assume that Ram takes t minutes at x m per minute tx= (t - 45)(1.5x) 0.5fx = 67.5x
t = 135 minutes
Hence, option 4.
Most Upvoted Answer
One day Ram starts to his office half an hour late. In order to reach ...
Given Information:
- Ram starts half an hour late.
- He increased his speed by 50%.
- He reached office 15 minutes earlier than his usual time.
To Find:
- The time Ram normally takes to reach the office.
Assumptions:
- The distance from Ram's home to the office is the same every day.
- Ram's usual speed is constant.
Let's Solve the Problem:
Step 1: Calculate the time difference due to increased speed
Let's assume the normal time taken by Ram to reach the office is 'x' minutes.
When Ram starts half an hour late, the total time taken to reach the office is x + 30 minutes.
When Ram increased his speed by 50%, the time taken to reach the office is reduced by 15 minutes.
So, the time taken to reach the office with increased speed is (x + 30) - 15 minutes = x + 15 minutes.
Therefore, the time difference due to increased speed is (x + 15) - x = 15 minutes.
Step 2: Calculate the time difference due to starting late
We are given that Ram reached the office 15 minutes earlier than his usual time.
So, the time difference due to starting late is 15 minutes.
Step 3: Calculate the normal time taken by Ram to reach the office
The total time difference is the sum of the time differences due to increased speed and starting late.
So, the total time difference is 15 minutes + 15 minutes = 30 minutes.
Since Ram reached the office 30 minutes earlier than his usual time, the normal time taken by Ram to reach the office is 30 minutes after the usual time.
Therefore, the normal time taken by Ram to reach the office is x + 30 minutes.
Final Answer:
The time Ram normally takes to reach the office is x + 30 minutes, which is equivalent to 135 minutes.
Therefore, option D, 135 minutes, is the correct answer.
- Ram starts half an hour late.
- He increased his speed by 50%.
- He reached office 15 minutes earlier than his usual time.
To Find:
- The time Ram normally takes to reach the office.
Assumptions:
- The distance from Ram's home to the office is the same every day.
- Ram's usual speed is constant.
Let's Solve the Problem:
Step 1: Calculate the time difference due to increased speed
Let's assume the normal time taken by Ram to reach the office is 'x' minutes.
When Ram starts half an hour late, the total time taken to reach the office is x + 30 minutes.
When Ram increased his speed by 50%, the time taken to reach the office is reduced by 15 minutes.
So, the time taken to reach the office with increased speed is (x + 30) - 15 minutes = x + 15 minutes.
Therefore, the time difference due to increased speed is (x + 15) - x = 15 minutes.
Step 2: Calculate the time difference due to starting late
We are given that Ram reached the office 15 minutes earlier than his usual time.
So, the time difference due to starting late is 15 minutes.
Step 3: Calculate the normal time taken by Ram to reach the office
The total time difference is the sum of the time differences due to increased speed and starting late.
So, the total time difference is 15 minutes + 15 minutes = 30 minutes.
Since Ram reached the office 30 minutes earlier than his usual time, the normal time taken by Ram to reach the office is 30 minutes after the usual time.
Therefore, the normal time taken by Ram to reach the office is x + 30 minutes.
Final Answer:
The time Ram normally takes to reach the office is x + 30 minutes, which is equivalent to 135 minutes.
Therefore, option D, 135 minutes, is the correct answer.
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One day Ram starts to his office half an hour late. In order to reach in time, he increased his speed by 50%. But he reached office 15 minutes earlier than his usual time. How much time does Ram normally take to reach office?a)120 minutesb)125 minutesc)130 minutesd)135 minutesCorrect answer is option 'D'. Can you explain this answer?
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One day Ram starts to his office half an hour late. In order to reach in time, he increased his speed by 50%. But he reached office 15 minutes earlier than his usual time. How much time does Ram normally take to reach office?a)120 minutesb)125 minutesc)130 minutesd)135 minutesCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about One day Ram starts to his office half an hour late. In order to reach in time, he increased his speed by 50%. But he reached office 15 minutes earlier than his usual time. How much time does Ram normally take to reach office?a)120 minutesb)125 minutesc)130 minutesd)135 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One day Ram starts to his office half an hour late. In order to reach in time, he increased his speed by 50%. But he reached office 15 minutes earlier than his usual time. How much time does Ram normally take to reach office?a)120 minutesb)125 minutesc)130 minutesd)135 minutesCorrect answer is option 'D'. Can you explain this answer?.
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One day Ram starts to his office half an hour late. In order to reach in time, he increased his speed by 50%. But he reached office 15 minutes earlier than his usual time. How much time does Ram normally take to reach office?a)120 minutesb)125 minutesc)130 minutesd)135 minutesCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for One day Ram starts to his office half an hour late. In order to reach in time, he increased his speed by 50%. But he reached office 15 minutes earlier than his usual time. How much time does Ram normally take to reach office?a)120 minutesb)125 minutesc)130 minutesd)135 minutesCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of One day Ram starts to his office half an hour late. In order to reach in time, he increased his speed by 50%. But he reached office 15 minutes earlier than his usual time. How much time does Ram normally take to reach office?a)120 minutesb)125 minutesc)130 minutesd)135 minutesCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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