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    Question

    Find the distance travelled (in km) by the truck to

    reach point B from point A, if a car cover 45% the same distance in 2 hours 42 minutes and a truck covers 50% of the distance in 7 hours. The sum of speed of the car and truck is 160 km/hr.
    A 804 km Correct Answer Incorrect Answer
    B 784 km Correct Answer Incorrect Answer
    C 834 km Correct Answer Incorrect Answer
    D 864 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let speed of car be s kmph
    Time taken by car travel total distance = 100/45 x 2.7 = 6 hrs
    Time taken by truck to cover total distance = 100/50 x 7 = 14 hrs
    so, s x 6 = (160 - s) x 14
    6s = 2240 - 14s
    so, riquired distance = 112 x 7 = 784 km

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