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    Question

    A car travels at three-fourths of

    its original speed, taking 20 minutes more than the usual time to cover a given distance. Find the usual time the car takes to cover this distance.
    A 28 mins Correct Answer Incorrect Answer
    B 45 mins Correct Answer Incorrect Answer
    C 60 mins Correct Answer Incorrect Answer
    D 55 mins Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the usual speed of the car be '4s' km/h and the distance be 'd' km. Let the usual time taken by the car be 't' hours. Using the relation:

    Now, at three-fourths of the original speed, the speed becomes (3/4) × 4s = 3s The time taken at this speed:

    Substitute 'd' from equation (I):

    Multiply both sides by 3: 4t = 3t+1 t = 1 So, the usual time taken by the car is 1 hour or 60 mins

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