A man starts walking at 3 pm. He walks at a speed of 4 km/hr on level ground and at a speed of 3 km/hr on uphill, 6 km/hr downhill and then 4 km/hr on level ground to reach home at 9 pm. What is the distance covered on one way?
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a man starts walking at 3pm. he walks at a speed of 4km per hour
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Explanation:
Formulae : speed = distance / time
Logic: How to take distance on ground level and hill
Let us consider man walk on level ground and covered x km distance and on the hill is y km.
So total distance covered in one way is x+y
Total time taken by man to reach home back is 9 PM - 3 PM i.e, 6 Hrs
When man starts walking on a level road then he takes x/4 Hrs
then on up hills y/3 Hrs
When he starts to walk back to the home he is moving down the hill and takes y/6 Hrs and then level ground x/4 Hrs
Total time taken by a man is
x/4 + y/3 + y/6 + x/4 = 6
x/2 + y/2 = 6
x + y = 12
So, the correct choice is 12 Km
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