Question

    Two cyclists travel from X to Y at speeds of 18 km/hr

    and 24 km/hr. If one of them takes 15 minutes less time than the other to reach the destination, then find the distance (in km) between X and Y.
    A 18 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    Given: Speed₁ = 18 km/h Speed₂ = 24 km/h Time difference = 15 min = 1/4 hr Let distance = d km Equation: d/18 − d/24 = 1/4 LCM of 18 and 24 = 72 (4d − 3d)/72 = 1/4 d/72 = 1/4 d = 72 × 1/4 = 18

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