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Free_Kalibri [48]
2 years ago
13

You are hiking in an area with steep trails. It takes you twice as long to hike uphill as it takes you to hike downhill. When yo

u get to the bottom of the trail, you take a 30-minute break. On your way back up the trail, you take a 15-minute break. Write an expression for the total time of your hike in hours. Explain what the terms represent in the expression.
Mathematics
1 answer:
baherus [9]2 years ago
7 0

Answer:

The total time spent will be:

(t + 1/2)hrs + (2t + 1/4)hrs = (3t + 3/4)hrs.

Step-by-step explanation:

Let the time it takes to hike downhill be represented by t in hrs.

This implies that the time it takes to hike uphill will be 2t, as stated in the question.

Since, a 30-minute break, which is 1/2hrs, was taken to hike downhill, then the total time spent for hiking downhill will be (t + 1/2)hrs.

Also, since a 15-minute, which 1/4hrs, was taken to hike uphill, then the total time spent for hiking uphill will be (2t + 1/4)hrs.

Therefore, the total time spent will be:

(t + 1/2)hrs + (2t + 1/4)hrs = (3t + 3/4)hrs.

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