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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?

Difficulty: Easy

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 km

Verification / 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
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