Two trains started at 7AM from the same point. The first train travelled north at a speed of
80km/h and the second train travelled south at a speed of 100 km/h. The time at which they
were 540 km apart is
Options:
(A) 9
(B) 10
(C) 11
(D) 11.30
GA
213
3 ---
GATE 2019 General Aptitude (GA) Set-8
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Concept Analysis (GATE BT 2019 Q.9)**
**1. Governing Concept**:
- **Topic**: Quantitative Aptitude & Relative Speed / Train Crossing
- Two trains starting at 7 AM from the same point:
- Motion equations based on speeds and distance separation over time.
- Direct algebraic solution yields Option **B**.
**2. Option Analysis**:
- **Option (A) is INCORRECT**: Calculation error.
- **Option (B) is CORRECT**: Matches relative speed and meeting time equations.
- **Option (C) is INCORRECT**: Distractor.
- **Option (D) is INCORRECT**: Distractor.
**3. Final Answer**:
- **Correct Choice**: **B**
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