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A worker reaches his work place 15 minutes late by walking at 4 kmph from his house.The next day he increases his speed by 2 kmph and reaches in time. Find the distance from his house to his workplace
Correct answer is '8'. Can you explain this answer?
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A worker reaches his work place 15 minutes late by walking at 4 kmph f...
8 km
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A worker reaches his work place 15 minutes late by walking at 4 kmph f...
Given information:
A worker reaches his workplace 15 minutes late by walking at 4 kmph from his house.
The next day, he increases his speed by 2 kmph and reaches on time.
To find:
The distance from his house to his workplace.
Let's solve the problem step by step:
Step 1: Calculate the time taken to reach the workplace initially.
Given that the worker reaches his workplace 15 minutes late by walking at 4 kmph.
We know that speed = distance/time.
Let the distance from his house to his workplace be 'd' km.
So, the time taken to reach the workplace initially is (d/4) hours.
Step 2: Calculate the time taken to reach the workplace the next day.
The next day, the worker increases his speed by 2 kmph.
So, the speed becomes 4+2 = 6 kmph.
Now, he reaches on time.
Therefore, the time taken to reach the workplace the next day is (d/6) hours.
Step 3: Calculate the time difference.
Given that the worker reaches his workplace 15 minutes late initially.
15 minutes is equal to (15/60) = 0.25 hours.
So, the time taken to reach the workplace initially is (d/4) + 0.25 hours.
Step 4: Set up the equation.
Since the time taken to reach the workplace initially and the time taken the next day are equal:
(d/4) + 0.25 = d/6
Step 5: Solve the equation to find the distance.
Simplifying the equation:
6d + 1.5 = 4d
2d = 1.5
d = 1.5/2
d = 0.75
Therefore, the distance from his house to his workplace is 0.75 km.
Conclusion:
The distance from his house to his workplace is 0.75 km.
A worker reaches his workplace 15 minutes late by walking at 4 kmph from his house.
The next day, he increases his speed by 2 kmph and reaches on time.
To find:
The distance from his house to his workplace.
Let's solve the problem step by step:
Step 1: Calculate the time taken to reach the workplace initially.
Given that the worker reaches his workplace 15 minutes late by walking at 4 kmph.
We know that speed = distance/time.
Let the distance from his house to his workplace be 'd' km.
So, the time taken to reach the workplace initially is (d/4) hours.
Step 2: Calculate the time taken to reach the workplace the next day.
The next day, the worker increases his speed by 2 kmph.
So, the speed becomes 4+2 = 6 kmph.
Now, he reaches on time.
Therefore, the time taken to reach the workplace the next day is (d/6) hours.
Step 3: Calculate the time difference.
Given that the worker reaches his workplace 15 minutes late initially.
15 minutes is equal to (15/60) = 0.25 hours.
So, the time taken to reach the workplace initially is (d/4) + 0.25 hours.
Step 4: Set up the equation.
Since the time taken to reach the workplace initially and the time taken the next day are equal:
(d/4) + 0.25 = d/6
Step 5: Solve the equation to find the distance.
Simplifying the equation:
6d + 1.5 = 4d
2d = 1.5
d = 1.5/2
d = 0.75
Therefore, the distance from his house to his workplace is 0.75 km.
Conclusion:
The distance from his house to his workplace is 0.75 km.
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A worker reaches his work place 15 minutes late by walking at 4 kmph from his house.The next day he increases his speed by 2 kmph and reaches in time. Find the distance from his house to his workplaceCorrect answer is '8'. Can you explain this answer?
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A worker reaches his work place 15 minutes late by walking at 4 kmph from his house.The next day he increases his speed by 2 kmph and reaches in time. Find the distance from his house to his workplaceCorrect answer is '8'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A worker reaches his work place 15 minutes late by walking at 4 kmph from his house.The next day he increases his speed by 2 kmph and reaches in time. Find the distance from his house to his workplaceCorrect answer is '8'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A worker reaches his work place 15 minutes late by walking at 4 kmph from his house.The next day he increases his speed by 2 kmph and reaches in time. Find the distance from his house to his workplaceCorrect answer is '8'. Can you explain this answer?.
A worker reaches his work place 15 minutes late by walking at 4 kmph from his house.The next day he increases his speed by 2 kmph and reaches in time. Find the distance from his house to his workplaceCorrect answer is '8'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A worker reaches his work place 15 minutes late by walking at 4 kmph from his house.The next day he increases his speed by 2 kmph and reaches in time. Find the distance from his house to his workplaceCorrect answer is '8'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A worker reaches his work place 15 minutes late by walking at 4 kmph from his house.The next day he increases his speed by 2 kmph and reaches in time. Find the distance from his house to his workplaceCorrect answer is '8'. Can you explain this answer?.
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