a man walks a certain distance at 8km/hr and return at 6km/hr. if the total time taken by him in 3 1/2 hrs find the total distance walked.​

Question

a man walks a certain distance at 8km/hr and return at 6km/hr. if the total time taken by him in 3 1/2 hrs find the total distance walked.​

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Cora 3 weeks 2021-09-04T17:02:24+00:00 1 Answer 0 views 0

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    2021-09-04T17:03:34+00:00

    Given:-

    • A man walks a certain distance at 8km/hr and return at 6km/hr.

    To find:-

    • if the total time taken by him in 3 1/2 hrs find the total distance walked.​

    Solution:-

    Average speed = 2ab/(a + b)   [when distance is constant.]

            = 2 x 8 x 6 / 14 = 48/7 kmph

    Time walked = 3 ½ hours.

    Total Distance covered = 3½ x 48/7 = 24 kms

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    Alternate Method :

    Speed inversely proportional to Time when Distance is constant.

    => If speed ratio = 8:6 then Time Ratio = 6:8 = 3:4

    => Total distance walked = 8 x 3.5×3/7 + 6 x 3.5 x 4/7

    = 12 + 12 = 24 kms

    ___________________________________________

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