Question

Joseph is running up and down the stadium stairs for exercise. Each step is 8 inches high and there are a total of 50 stairs. Joseph makes 10 round trips up and down the stairs. How far has he traveled vertically to the nearest yard in the combined trips up and down?

Answer 1

The distance he has traveled vertically to the nearest yard in combined trip is 111 yards.

Solution:

Given that,

Each step is 8 inches high

There are a total of 50 stairs

So the height of 50 stairs is:

Height of 50 stairs = 50 x 8 = 400 inches

Joseph makes 10 round trips up and down the stairs

So, joseph has went up 10 times and he came down 10 times

We need to find the distance he has traveled vertically in the combined trips

Therefore,

Number of times he went up = 10

We know that,

height of 50 stairs = 400 inches

Therefore,

Distance traveled up = 10 x 400 = 4000 inches

Convert to yard

1 yard = 36 inch

Therefore,

$4000\ inch = \frac{4000}{36}\ yard = 111.111\ yards$

Therefore, the distance he has traveled vertically to the nearest yard in combined trip is 111 yards