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


    Question

    The speed of a boat in still water is 22 km/h and the

    speed of the stream is 8 km/h. The boat first goes 60 km downstream and then travels upstream a distance which is x% less than the distance travelled downstream. If the total time taken for the entire trip is 5 hours, find the value of β€˜x’.
    A 30 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 58 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Distance covered by boat in upstream = [{1 βˆ’ (x/100)} Γ— 60] km Upstream speed of the boat = 22 βˆ’ 8 = 14 km/h Downstream speed of the boat = 22 + 8 = 30 km/h According to the question; [{{1 βˆ’ (x/100)} Γ— 60} / 14] + (60 / 30) = 5 Or, {1 βˆ’ (x/100)} Γ— (60/14) = 5 βˆ’ 2 Or, {1 βˆ’ (x/100)} Γ— (60/14) = 3 Or, 1 βˆ’ (x/100) = 3 Γ— (14/60) Or, 1 βˆ’ (x/100) = 42/60 Or, 1 βˆ’ (x/100) = 7/10 Or, (x/100) = 1 βˆ’ 7/10 = 3/10 Or, x = 30

    Practice Next
    ask-question