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    Question

    An individual "P" needs to cover

    a total distance of 516 km. They travel 6 km less than half of the total distance at a speed of 48 km/h, followed by (7/12)th of the remaining distance at a speed of 44 km/h. If the total time taken for the journey is 11.5 hours, determine the speed at which "P" traveled the final segment of the journey.
    A 60 km/h Correct Answer Incorrect Answer
    B 45 km/h Correct Answer Incorrect Answer
    C 35 km/h Correct Answer Incorrect Answer
    D 40 km/h Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Distance travelled at speed of 48 km/h = 516 × 0.5 - 6 = 252 km So, time taken to travel 252 km = 252 ÷ 48 = 5.25 hours Remaining distance = 516 - 252 = 264 km (7/12)th of the remaining distance = 264 × (7/12) = 154 km Time taken to travel 154 km = 154 ÷ 44 = 3.5 hours Remaining distance to be travelled = 516 - (252 + 154) = 110 km Remaining time = 11.5 - (5.25 + 3.5) = 2.75 hours So, speed at which remaining distance to be travelled = 110 ÷ 2.75 = 40 km/h So, 'P' travelled the last part of the journey at the speed of 40 km/h

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