Study the following information carefully and give the answer of the following questions. Train M of length 150 meters moving at 54 kmph and train U of length 250 metres moving at 90 kmph running on parallel track enter a 300-metre long tunnel at the same instant from opposite direction. Which train exist the tunnel first and at the moments it exists, what length of the other train is still in the tunnel?
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M, 120
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U, 130
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U, 120
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M, 130
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None of these
C
Correct answer
Explanation
Train M: 150m at 54 kmph = 15 m/s. Train U: 250m at 90 kmph = 25 m/s. Tunnel length: 300m. Time for M to exit tunnel = (150+300)/15 = 450/15 = 30s. Time for U to exit tunnel = (250+300)/25 = 550/25 = 22s. So U exits first. At 22s, M has traveled: 22 × 15 = 330m. M's tail (end) has entered the tunnel at: 330 - 150 = 180m from tunnel entrance. Tunnel length remaining for M: 300 - 180 = 120m. Therefore, when U exits, 120m of M is still in the tunnel. Answer C (U, 120) is correct.