A car covers 200 km in 2 h 40 min, while a jeep covers the same 200 km in 2 h. What is the ratio of their speeds (car : jeep)?

Introduction / Context:For equal distances, speed is distance/time. Convert mixed hours to pure hours, compute both speeds, and simplify their ratio.

Given Data / Assumptions:

• Car: 200 km in 2 h 40 min = 2 + 40/60 = 2.6667 h.
• Jeep: 200 km in 2 h.

Concept / Approach:Compute speeds, then ratio (car : jeep) = (car speed) : (jeep speed) and reduce to simplest form.

Step-by-Step Solution:

Verification / Alternative check:Cross-multiply: 3×100 = 4×75 = 300—consistent.

Why Other Options Are Wrong:Other ratios do not equal 75:100 when simplified.

Common Pitfalls:Not converting 40 minutes to 2/3 hour; swapping the order (jeep : car) instead of (car : jeep).

Final Answer:3 : 4