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    Question

    Truck A is traveling at a speed of x km/hr, and Truck B

    is moving in the same direction but is 180 km behind Truck A. The speed of Truck B is 5x km/hr. If it takes Truck B 3 hours to catch up with Truck A, what is the sum of the speeds of both trucks?
    A 90 km/hr Correct Answer Incorrect Answer
    B 60 km/hr Correct Answer Incorrect Answer
    C 75 km/hr Correct Answer Incorrect Answer
    D 50 km/hr Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Relative speed = 5x – x = 4x km/hr According to the question, 3 = 180/4x So, x = 15 km/hr So, truck A’s speed = x = 15 km/hr and truck B’s speed = 5x = 75 km/hr Sum of the speeds of the 2 trucks = 15 + 75 = 90 km/hr

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