Question

Wen was hiking on a 12-mile route. During the first 2 hours, his hiking speed was 3 mph. During the rest of the hike, his speed was 2 mph. How long did the entire hike take?

Answer 1

The total time taken to cover 12 miles distance is 5 hours.

Given the Parameters :

• Total distance hiked = 12 miles

Recall :

• Distance = speed × time

Let :

• Total Time taken = t

We could create an equation thus :

Total distance = 3(2) + 2(t - 2)

12 = 6 + 2t - 4

12 = 2 + 2t

12 - 2 = 2t

10 = 2t

t = 10/2

t = 5

Therefore, the total time taken is 5 hours

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