πŸ“’ Too many exams? Don’t know which one suits you best? Book Your Free Expert πŸ‘‰ call Now!

    Question

    Amit has two routes, β€˜X’ and

    β€˜Y’, to travel from his home to his gym. The length of route β€˜X’ exceeds the length of route β€˜Y’ by 15 km. On Monday, Amit chose route β€˜X’. He traveled at a certain speed for 2 hours, then increased his speed by 20% for the rest of the journey. On Tuesday, he opted for route β€˜Y’. For the first 2 hours, he traveled at a speed that was 20% less than his initial speed on Monday, and then increased his speed by 25% for the remainder of the journey. If Amit completed both routes in exactly 3 hours, determine the distance of the longer route.
    A 45 km Correct Answer Incorrect Answer
    B 75 km Correct Answer Incorrect Answer
    C 80 km Correct Answer Incorrect Answer
    D 65 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    For route β€˜X’: Let the speed of Amit for 2 hours be β€˜a’ km/hr Therefore, total distance covered = 2a + 1.2a = 3.2a km For route β€˜Y’: Speed of Amit for 2 hours = 0.8a km/hr Therefore, total distance covered = 0.8a Γ— 2 + 1.25 Γ— 0.8a = 2.6a km According to the question, 3.2a – 2.6a = 15 Or, a = 15/0.6 = 25 Therefore, distance of the longer route = 3.2a = 80 km

    Practice Next
    More Quant Miscellaneous Questions

    Relevant for Exams:

    ask-question