Question

2. The elevator in the Washington Monument takes 75 seconds to travel 506 feet to the top floor. What is the speed of the elevator in miles per hour

Answer 1

Answer: the speed of the elevator is 4.6 miles per hour.

Step-by-step explanation:

Given, The elevator in the Washington Monument takes 75 seconds to travel 506 feet to the top floor.

Since 1 hour = 3600 seconds

⇒ 1 second = $\dfrac{1}{3600}$ hour

⇒ 75 seconds = $\dfrac{75}{3600}$ hour $=\dfrac{1}{48}$ hour

1 mile = 5280 feet

1 feet = $\dfrac{1}{5280}$ mile

506 feet = $\dfrac{506}{5280}$ miles $=\dfrac{23}{240}$ miles

Speed = $\dfrac{Distance}{Time}$

$=\dfrac{\dfrac{23}{240}}{\dfrac{1}{48}}\\\\=\dfrac{23\times48}{240}\\\\=\dfrac{23}{5}\\\\=4.6\text{ miles per hour}$

Hence, the speed of the elevator is 4.6 miles per hour.