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    Question

    Virat typically covers the journey from Point 'P' to

    Point 'Q' at a speed of 24 km/h. However, on a particular day, he traveled 40% of the total distance at a speed that was 125% of his usual speed and the remaining 60% at 75% of his usual speed. As a result, his total travel time increased by 1.5 hours compared to the usual time. Determine the total distance between Point 'P' and 'Q'.
    A 550 km Correct Answer Incorrect Answer
    B 300 km Correct Answer Incorrect Answer
    C 650 km Correct Answer Incorrect Answer
    D 750 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the distance between Point 'P' and 'Q' be = '10x km According to the question, {(10x X 0.40) ÷ (1.25 X 24)} + {(10x X 0.60) ÷ (0.75 X 24)} - (10x ÷ 24) = 1.5 Or, (4x/30) + (6x/18) - (10x/24) = 1.5 Or, (0.8x + 2x - 2.5x) ÷ 6 = 1.5 Or, 0.3x = 9 So, x = 9 ÷ 0.3 = 30 So, total distance travelled by Virat = 10 X 30 = 300 km 

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