Question

A mountaineer climbed 1000 feet at a rate of 6 ft./h. He climbed an additional 5000 feet at a different rate, which was 10 ft./h less than twice the first rate. Which expression represents the number of hours the mountaineer climbed?

A. (1000 + 5000) / (6 + 2(6 - 10))
B. (1000 + 5000) / (6 + 2(6 + 10))
C. (1000 - 5000) / (6 + 2(6 - 10))
D. (1000 - 5000) / (6 + 2(6 + 10))

Answer 1

To find the number of hours the mountaineer climbed, we need to determine the time it took for each part of the climb. The total time taken for the climb is 2666.67 hours.

Step-by-step explanation:

To find the number of hours the mountaineer climbed, we need to determine the time it took for each part of the climb.

For the first part, the mountaineer climbed 1000 feet at a rate of 6 ft./h. So the time taken for this part is 1000/6 = 166.67 hours.

For the second part, the mountaineer climbed 5000 feet at a rate that is 10 ft./h less than twice the first rate, which is (2*6) - 10 = 2. So the time taken for this part is 5000/2 = 2500 hours.

Therefore, the total time taken for the climb is 166.67 + 2500 = 2666.67 hours.