Question

A man walks up a mountain at the rate of 2 km an hour and down by a way 6 km longer at the rate of 7/2 km an hour. He is out eight hours altogether. How far has he walked?

Answer 1

Answer:

Step-by-step explanation:Let the way up be x km

Time taken to climb up = x/2 hours.

The way down = (x+6)km

Time taken to climb down =(x+6)/(7/2)= 2(x+6)/7

Therefore the total time of the journey = (x/2)+{2(x+6)/7}=8

solve x = 8

Total distance = x+x+6 = 22km.

Answer 2

Answer:

Let the way up be x km

Time taken to climb up = x/2 hours.

The way down = (x+6)km

Time taken to climb down =(x+6)/(7/2)= 2(x+6)/7

Therefore the total time of the journey = (x/2)+{2(x+6)/7}=8

solve x = 8

Total distance = x+x+6 = 22km.

Step-by-step explanation:

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