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?

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:

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