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If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
- a)70 km
- b)80 km
- c)50 km
- d)56 km
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If a person walks at 14 km/hr instead of 10 km/hr, he would have walke...
Let us assume, the actual distance traveled be x km.
Then, x/10 = (x + 20)/14
14x = 10x + 200
4x = 200
x = 50 km.
Then, x/10 = (x + 20)/14
14x = 10x + 200
4x = 200
x = 50 km.
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Community Answer
If a person walks at 14 km/hr instead of 10 km/hr, he would have walke...
Understanding the Problem
To solve the problem, we need to analyze the relationship between speed, time, and distance.
Given Information
- Speed 1: 10 km/hr
- Speed 2: 14 km/hr
- Additional distance covered: 20 km
Let’s Define Variables
- Let "d" be the actual distance traveled by the person.
- Let "t" be the time taken to travel the distance "d".
Setting Up the Equations
1. Time taken at 10 km/hr:
- Time = Distance / Speed
- t = d / 10
2. Time taken at 14 km/hr:
- t = (d + 20) / 14
Equating the Two Time Expressions
Since the time taken is the same in both scenarios, we can set the equations equal to each other:
- d / 10 = (d + 20) / 14
Solving the Equation
1. Cross-multiply to eliminate the fractions:
- 14d = 10(d + 20)
2. Distribute:
- 14d = 10d + 200
3. Rearranging the equation:
- 14d - 10d = 200
- 4d = 200
4. Solve for d:
- d = 200 / 4
- d = 50 km
Conclusion
The actual distance traveled by the person is 50 km, confirming that the correct answer is option 'C'.
To solve the problem, we need to analyze the relationship between speed, time, and distance.
Given Information
- Speed 1: 10 km/hr
- Speed 2: 14 km/hr
- Additional distance covered: 20 km
Let’s Define Variables
- Let "d" be the actual distance traveled by the person.
- Let "t" be the time taken to travel the distance "d".
Setting Up the Equations
1. Time taken at 10 km/hr:
- Time = Distance / Speed
- t = d / 10
2. Time taken at 14 km/hr:
- t = (d + 20) / 14
Equating the Two Time Expressions
Since the time taken is the same in both scenarios, we can set the equations equal to each other:
- d / 10 = (d + 20) / 14
Solving the Equation
1. Cross-multiply to eliminate the fractions:
- 14d = 10(d + 20)
2. Distribute:
- 14d = 10d + 200
3. Rearranging the equation:
- 14d - 10d = 200
- 4d = 200
4. Solve for d:
- d = 200 / 4
- d = 50 km
Conclusion
The actual distance traveled by the person is 50 km, confirming that the correct answer is option 'C'.
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Question Description
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