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)?
Aptitude
Time and Distance
Difficulty: Easy
Choose an option
Answer
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