SOLUTION: A man walks from his home to a town 6 km away at a speed of 4 km/h and returns home at a speed of 12 km/h what is man's average speed for the whole journey

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Question 1122555: A man walks from his home to a town 6 km away at a speed of 4 km/h and returns home at a speed of 12 km/h what is man's average speed for the whole journey
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A man walks from his home to a town 6 km away at a speed of 4 km/h and returns home at a speed of 12 km/h what is man's average speed for the whole journey
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Avg = 2*4*12/(4+12) = 6 km/hr
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the distance is not relevant.

Answer by ikleyn(52795) About Me  (Show Source):
You can put this solution on YOUR website!
.
Walking at the speed of 4 km/h, the man spends 1.5 hours to cover 6 kilometers.


For the way back, moving at the speed of 12 km/h, he spends 0.5 of an hour.


In all, he spends 1.5 hours + 0.5 of an hour = 2 hours to cover 6 + 6 = 12 kilometers.


It means that his average speed on the way "to there" and back is  12%2F2 = 6 kilometers per hour.

Solved.

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The lesson to learn from the solution is THIS :

    Notice that the average speed in this case  "6 km/h" IS NOT the average of the partial speeds  4 km/h  and  12 km/h/