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    Question

    Two buses, ‘D’ and ‘E’, started from cities ‘A’

    and ‘B’ towards each other at the same time. When they met after 10 hours, bus ‘E’ had travelled 150 km more than bus ‘D’. Find the distance travelled by bus ‘D’ in 7 hours if the distance between both cities is 850 km.
    A 240 km Correct Answer Incorrect Answer
    B 245 km Correct Answer Incorrect Answer
    C 250 km Correct Answer Incorrect Answer
    D 255 km Correct Answer Incorrect Answer
    E 260 km Correct Answer Incorrect Answer

    Solution

    Let distance travelled by bus ‘D’ at the time of meet = ‘x’ km
    So, distance travelled by bus ‘E’ at the time of meet = ‘x + 150’ km
    According to question:
    x + x + 150 = 850
    Or, 2x = 700
    Or, x = 350
    Distance travelled by bus ‘D’ in 10 hours = 350 km
    Speed of bus ‘D’ = 350 / 10 = 35 km/h
    Distance travelled by bus ‘D’ in 7 hours = 35 × 7 = 245 km

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