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A man starts from his home with a speed of 4 km/h on a straight road up to his office 5 km away and returns to home, then the path length covered is:
- a)-5 km
- b)5 km
- c)0
- d)10 km
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A man starts from his home with a speed of 4 km/h on a straight road u...
5 km is the distance covered while going and 5 km while coming back.
⇒ Total path travelled = 10 km
⇒ Total path travelled = 10 km
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A man starts from his home with a speed of 4 km/h on a straight road u...
Solution:
To find the path length covered by the man, we need to find the total distance travelled by him.
Let's assume that the man takes t hours to reach his office and return home.
Distance covered while going to the office:
Distance = Speed x Time
= 4 km/h x t h
= 4t km
Distance covered while returning home:
Distance = Speed x Time
= 4 km/h x t h
= 4t km
Total distance covered:
Distance = Distance to the office + Distance back home
= 4t km + 4t km
= 8t km
But we know that the distance to the office is 5 km. So, the total time taken by the man to go to the office and return back home is given by:
Total time taken = Time taken to reach the office + Time taken to return home
= 5 km/4 km/h + 5 km/4 km/h
= 2.5 h
Substituting the value of t in the expression for total distance covered, we get:
Distance = 8t km
= 8 x 2.5 km
= 20 km
Therefore, the path length covered by the man is 10 km (5 km to the office and 5 km back home).
To find the path length covered by the man, we need to find the total distance travelled by him.
Let's assume that the man takes t hours to reach his office and return home.
Distance covered while going to the office:
Distance = Speed x Time
= 4 km/h x t h
= 4t km
Distance covered while returning home:
Distance = Speed x Time
= 4 km/h x t h
= 4t km
Total distance covered:
Distance = Distance to the office + Distance back home
= 4t km + 4t km
= 8t km
But we know that the distance to the office is 5 km. So, the total time taken by the man to go to the office and return back home is given by:
Total time taken = Time taken to reach the office + Time taken to return home
= 5 km/4 km/h + 5 km/4 km/h
= 2.5 h
Substituting the value of t in the expression for total distance covered, we get:
Distance = 8t km
= 8 x 2.5 km
= 20 km
Therefore, the path length covered by the man is 10 km (5 km to the office and 5 km back home).
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A man starts from his home with a speed of 4 km/h on a straight road up to his office 5 km away and returns to home, then the path length covered is:a)-5 kmb)5 kmc)0d)10 kmCorrect answer is option 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A man starts from his home with a speed of 4 km/h on a straight road up to his office 5 km away and returns to home, then the path length covered is:a)-5 kmb)5 kmc)0d)10 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man starts from his home with a speed of 4 km/h on a straight road up to his office 5 km away and returns to home, then the path length covered is:a)-5 kmb)5 kmc)0d)10 kmCorrect answer is option 'D'. Can you explain this answer?.
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