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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
Assume that Ram takes t minutes at x m per minute tx= (t - 45)(1.5x) 0.5fx = 67.5x
t = 135 minutes
Most Upvoted Answer
One day Ram starts to his office half an hour late. In order to reach ...
Ram's usual time to reach office:
Let's assume that Ram takes x minutes to reach his office normally.
Ram reaches office 15 minutes earlier:
When Ram increased his speed by 50%, he reached office 15 minutes earlier than his usual time. This means that he saved 15 minutes by increasing his speed.
Time saved by increasing speed:
When Ram increased his speed by 50%, he saved 15 minutes. This means that 15 minutes is equal to 50% of the time he normally takes to reach office.
Calculating Ram's normal time:
To find out how much time Ram normally takes to reach office, we need to calculate the time saved as a percentage of his normal time.
Let's assume that Ram's normal time is x minutes.
The time saved by increasing speed is 15 minutes, which is equal to 50% of his normal time.
So, we can set up the following equation:
15 minutes = (50/100) * x minutes
Simplifying the equation, we get:
15 minutes = (1/2) * x minutes
Multiplying both sides of the equation by 2:
30 minutes = x minutes
So, Ram normally takes 30 minutes to reach his office.
Converting minutes to hours and minutes:
Since the options given are in minutes, we need to convert 30 minutes to minutes.
30 minutes is equal to 30 minutes.
So, Ram normally takes 30 minutes to reach his office, which is equal to 135 minutes.
Therefore, the correct answer is option D) 135 minutes.
Let's assume that Ram takes x minutes to reach his office normally.
Ram reaches office 15 minutes earlier:
When Ram increased his speed by 50%, he reached office 15 minutes earlier than his usual time. This means that he saved 15 minutes by increasing his speed.
Time saved by increasing speed:
When Ram increased his speed by 50%, he saved 15 minutes. This means that 15 minutes is equal to 50% of the time he normally takes to reach office.
Calculating Ram's normal time:
To find out how much time Ram normally takes to reach office, we need to calculate the time saved as a percentage of his normal time.
Let's assume that Ram's normal time is x minutes.
The time saved by increasing speed is 15 minutes, which is equal to 50% of his normal time.
So, we can set up the following equation:
15 minutes = (50/100) * x minutes
Simplifying the equation, we get:
15 minutes = (1/2) * x minutes
Multiplying both sides of the equation by 2:
30 minutes = x minutes
So, Ram normally takes 30 minutes to reach his office.
Converting minutes to hours and minutes:
Since the options given are in minutes, we need to convert 30 minutes to minutes.
30 minutes is equal to 30 minutes.
So, Ram normally takes 30 minutes to reach his office, which is equal to 135 minutes.
Therefore, the correct answer is option D) 135 minutes.
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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?.
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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