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.​

Answer 1

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 3.5x3/7 + 6 x 3.5 x 4/7

= 12 + 12 = 24 kms

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