Round trip with mode switch — time saved by cycling both ways: Going on foot one way and by cycle the other takes 5 h 45 min total. Cycling both ways would save 2 h. What is the time to walk both ways?

Introduction / Context:
Let the one-way walking time and cycling time be variables. Use the total-time condition and the “save 2 h if cycle both ways” condition to solve for the walking-only round-trip time.

Given Data / Assumptions:

• Current total: t_walk + t_cycle = 5.75 h
• Cycling both ways total: 2 * t_cycle = 3.75 h

Concept / Approach:
Solve for t_cycle, then t_walk, then double t_walk for walking both ways.

Step-by-Step Solution:

Verification / Alternative check:
Check difference: (t_walk + t_cycle) − (2 * t_cycle) = t_walk − t_cycle = 2 h.

Why Other Options Are Wrong:
Other totals contradict either the given 5 h 45 min or the 2 h saving.

Common Pitfalls:
Converting minutes to hours incorrectly or mixing single-way vs round-trip quantities.

Final Answer:
7 h 45 min