Multiple choice

Passage

Directions: Study the given data carefully and answer the following question. Three trains are standing at the same platform. The data regarding the three trains are given below. Train P: It travels 20% less distance than R. Train Q: It travels 420 km at a speed of 60 km/hr. Train R: It travels for 10 hours and has 10% more speed than train Q.

If train Q starts half an hour before train R and they are travelling in the same direction, then after how many hours will train R cross train Q?

  1. 3 hours

  2. 4 hours

  3. 6 hours

  4. 5 hours

  5. 7 hours
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Train Q: 420 km at 60 km/hr = 7 hours. Train R: Speed = 1.1 * 60 = 66 km/hr. Train R travels for 10 hours. Relative speed = 66 - 60 = 6 km/hr. Train Q has a 0.5 hour head start, so it is 30 km ahead. Time to cross = 30 / 6 = 5 hours.

AI explanation

Train Q travels 420 km at 60 km/hr, taking 7 hours. Train R has 10% more speed than Q, making its speed 66 km/hr, and it travels for 10 hours to cover 660 km. Because train Q starts half an hour earlier, it has a 30 km head start when R begins. The relative speed of R with respect to Q is 6 km/hr, so the time to cross is 30 km divided by 6 km/hr, resulting in 5 hours.

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