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)?

Difficulty: Easy

Correct Answer: 3 : 4

Explanation:


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:

Car speed = 200 / 2.6667 ≈ 75 km/h.Jeep speed = 200 / 2 = 100 km/h.Ratio = 75 : 100 = 3 : 4.


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

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