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Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

Difficulty: Medium

Correct Answer: 48 s

Explanation:

Given Data

  • Speeds = 60 km/hr and 90 km/hr (opposite directions)
  • Lengths = 1.10 km and 0.9 km
  • Required: time for slower train to cross the faster train

Step 1: Use relative speed and total distance
Relative speed (opposite directions) = 60 + 90 = 150 km/hrTotal distance to cross completely = 1.10 + 0.90 = 2.00 kmTime (in hours) = distance ÷ speed = 2.00 ÷ 150 = 1/75 hr


Step 2: Convert hours to seconds
1 hour = 3600 sTime = (1/75) × 3600 = 48 s


Checks & Common Pitfalls

  • For opposite directions add speeds.
  • For complete crossing add lengths.
  • Convert hours to seconds carefully.

Final Answer
The time taken is 48 s.

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