Walking at 14 km/h instead of 10 km/h, a person would have covered 20 km more in the same time. What is the actual distance he traveled?
Aptitude
Time and Distance
Difficulty: Easy
Choose an option
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A40 km
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B45 km
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C50 km
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D56 km
Answer
Correct Answer: 50 km
Explanation
Given data
- Faster speed = 14 km/h
- Actual speed = 10 km/h
- Extra distance at faster speed over the same time = 20 km
Concept / Approach
- Let the common time be T hours. Distance difference = (14 − 10) × T = 4T.
- Use 4T = 20 to find T, then actual distance = 10 × T.
Step-by-step calculation
4T = 20 ⇒ T = 5 hoursActual distance = 10 × 5 = 50 kmVerification / Alternative
At 14 km/h for 5 h ⇒ 70 km; at 10 km/h for 5 h ⇒ 50 km; difference = 20 km ✔Common pitfalls
- Assuming time changed; the statement fixes time and varies speed.
- Confusing distance difference with speed ratio.
Final Answer
50 km