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A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?
- a)3km
- b)4km
- c)5km
- d)6km
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A man goes to his office from his house at a speed of 3 km/hr and retu...
If a car covers a certain distance at x kmph and an equal distance at y kmph,
the average speed of the whole journey = 2xy/x+y kmph
Hence, average speed = 2*3*2/2+3 = 12/5 km/hr
Total time taken = 5hours
⇒ Distance travelled = 12/5*5 = 12 km
⇒ Distance between his house and office = 12/2 = 6km
Most Upvoted Answer
A man goes to his office from his house at a speed of 3 km/hr and retu...
Given:
- Speed of going from house to office = 3 km/hr
- Speed of returning from office to house = 2 km/hr
- Total time taken = 5 hours
To find:
- Distance between house and office
Explanation:
Let's assume the distance between the house and office is 'd' km.
Time taken to go from house to office:
- Speed = 3 km/hr
- Time = Distance/Speed = d/3 hours
Time taken to return from office to house:
- Speed = 2 km/hr
- Time = Distance/Speed = d/2 hours
The total time taken is given as 5 hours.
So, we can write the equation as:
d/3 + d/2 = 5
Solving the equation:
To solve this equation, we can find a common denominator and then add the fractions.
Multiplying both sides of the equation by 6 (common denominator of 3 and 2), we get:
2d + 3d = 30
Simplifying the equation, we have:
5d = 30
Dividing both sides of the equation by 5, we get:
d = 6
Therefore, the distance between the house and office is 6 km.
Answer:
The distance between the house and office is 6 km (Option D).
- Speed of going from house to office = 3 km/hr
- Speed of returning from office to house = 2 km/hr
- Total time taken = 5 hours
To find:
- Distance between house and office
Explanation:
Let's assume the distance between the house and office is 'd' km.
Time taken to go from house to office:
- Speed = 3 km/hr
- Time = Distance/Speed = d/3 hours
Time taken to return from office to house:
- Speed = 2 km/hr
- Time = Distance/Speed = d/2 hours
The total time taken is given as 5 hours.
So, we can write the equation as:
d/3 + d/2 = 5
Solving the equation:
To solve this equation, we can find a common denominator and then add the fractions.
Multiplying both sides of the equation by 6 (common denominator of 3 and 2), we get:
2d + 3d = 30
Simplifying the equation, we have:
5d = 30
Dividing both sides of the equation by 5, we get:
d = 6
Therefore, the distance between the house and office is 6 km.
Answer:
The distance between the house and office is 6 km (Option D).
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