Question

A new obstacle course is home to several new types of challenging obstacles. One such obstacle is traversing a 15-stair staircase. To make it more challenging, the stairs are not uniformly spaced. Rather, the vertical space between consecutive stairs for the first 10 stairs is 113 feet and the vertical space for the last 5 stairs is 134 feet. What is the total vertical distance traveled ascending and descending the entire 15-stair staircase?

Answer 1

Answer: There is total vertical space of 494 feet traveled ascending and descending the entire 15-Stair staircase .

Explanation:

Since we have given that

Number of stairs in a staircase is formed = 15

Vertical space between consecutive stairs for the first 10 stairs = 113 feet

Vertical space between consecutive stairs for the last 5 stairs = 134 feet

Total vertical distance traveled ascending the entire 15-stair staircase is given by

`113+134\\\\=247\ feet`

Total vertical distance traveled ascending and descending the entire 15-stair staircase is given by

`247* 2=494\ feet`

Hence, there is total vertical space of 494 feet traveled ascending and descending the entire 15-Stair staircase .

Answer 2

The total vertical distance traveled ascending and descending the entire 15-stair staircase is 44.167 feet.

Explanation:

It is given that the vertical space between consecutive stairs for the first 10 stairs is

`1(1)/(3)=(3+1)/(3)=(4)/(3)`

Total vertical distance for first 10-stairs is

`(4)/(3)* 10=(40)/(3)`

The vertical space for the last 5 stairs is

`1(3)/(4)=(4+3)/(4)=(7)/(4)`

Total vertical distance for 5-stairs is

`(7)/(4)* 5=(35)/(4)`

The total vertical distance of 15-stairs is

`Total=(40)/(3)+(35)/(4)=(265)/(12)`

Total vertical distance traveled ascending and descending the entire 15-stair staircase is

`(265)/(12)* 2=(265)/(6)\approx 44.167`

Therefore the total vertical distance traveled ascending and descending the entire 15-stair staircase is 44.167 feet.