Question

    A bus of length 150 meters can cross a signal post in 6

    seconds. A second bus traveling at three times the speed of the first bus can cross a car traveling in the opposite direction in 8 seconds. Find the length of the car.
    A 260 m Correct Answer Incorrect Answer
    B 565 m Correct Answer Incorrect Answer
    C 650 m Correct Answer Incorrect Answer
    D 740 m Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Speed of the first bus = 150/6 = 25 m/s Speed of the second bus = 3×25 = 75 m/s Relative speed = 25+75 = 100 m/s Total distance covered by the second bus in 8 seconds = 100×8 = 800 meters Length of the car = 800−150 = 650 meters So, the length of the car is 650 meters.

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