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    Question

    A school bus arrives at the school on time when it

    maintains an average speed of 50 km/h. However, if the bus travels at an average speed of 40 km/h, it arrives 18 minutes late. Determine the total distance covered by the bus.
    A 60 km Correct Answer Incorrect Answer
    B 80 km Correct Answer Incorrect Answer
    C 40 km Correct Answer Incorrect Answer
    D 50 km Correct Answer Incorrect Answer
    E 30 km Correct Answer Incorrect Answer

    Solution

    Let the distance travelled by bus be 'D' km and usual time taken by bus to reach school be 'T' hours. So, 'D' = 50T -------- (I) And, 'D' = 40 x [T + (18/60) ] Or, 'D' = 40T + 12 -------- (II) From equation I and II, we get, 50T = 40T + 12 Or, 10T = 12 So, 'T' = (12/10) = 1.2 Therefore, required distance = 50T = 50 x 1.2 = 60 km

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