Multiple choice

Passage

Directions: Read the following information and answer the given question. Trains A and B run between stations P, Q and R. These stations are in the same line, station Q is between stations P and R. The total distance between stations P and R is 300 km. The ratio of the distance between stations P and Q and stations Q and R is 3 : 2. Train A starts from station P and train B starts from station Q and both travel towards station R. Train B starts two hours after train A.

If the trains A and B meet at a distance of 200 km from station P and train A is running with a speed of 60 km/h, then what would be the speed of train B?

  1. 10 km/h

  2. 12 km/h

  3. 15 km/h

  4. 18 km/h

  5. None of these
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C Correct answer
AI explanation

The total distance between P and R is 300 km, and the ratio of PQ to QR is 3:2, making the distance of PQ equal to 180 km. Train A travels 200 km from P at 60 km/h, taking 200/60 = 10/3 hours. Train B travels from Q to the meeting point, which is 200 - 180 = 20 km; since train B started 2 hours after train A, its travel time is (10/3) - 2 = 4/3 hours. Applying the formula Speed = Distance / Time, the speed of train B is 20 / (4/3) = 15 km/h.

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