Question
A motorbike travels from city 'X' to city 'Y' at the
speed of 50 km/hr. After completing 2/3 of the journey, its speed was increased by 50%. The total time taken to travel from 'X' to 'Y' is 432 minutes. Find the total distance between city 'X' and 'Y'.Solution
ATQ; Let the distance between 'X' and 'Y' be 3D km. ATQ, (2D / 50) + (D / (1.5 × 50)) = (432 / 60) (2D / 50) + (D / 75) = 7.2 (6D + 2D) / 150 = 7.2 (8D / 150) = 7.2 D = 135 Therefore, distance between 'X' and 'Y' = 3D = 3 × 135 = 405 km
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