If a man covers 10.2 km in 3 hours at constant speed, how much distance will he cover in 5 hours at the same speed?

Difficulty: Easy

Correct Answer: 17 km

Explanation:


Introduction / Context:
Uniform-speed scaling: distance is directly proportional to time when speed is fixed. Compute speed first, then scale to the new time.


Given Data / Assumptions:

  • Distance = 10.2 km in 3 h → speed = 10.2 / 3 = 3.4 km/h.
  • Time required = 5 h.


Concept / Approach:
Distance in 5 h = speed * time = 3.4 * 5.


Step-by-Step Solution:

v = 10.2 / 3 = 3.4 km/hD = 3.4 * 5 = 17 km


Verification / Alternative check:
Proportional scaling: 10.2 * (5/3) = 17 km.


Why Other Options Are Wrong:
They reflect alternative (incorrect) multipliers or rounding slips.


Common Pitfalls:
Arithmetic errors when dividing decimals or scaling by 5/3.


Final Answer:
17 km

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