A drawbridge rises at a rate of 3 2/3 feet per minute. The drawbridge rises to a height of 50 feet. How long does it take the draw bridge to completely rise?

Question 5 options:

13 7/11 feet


183 2/3 feet


13 7/11 minutes


183 2/3 minutes


Respuesta :

Answer: Third option.

Step-by-step explanation:

You know that the drawbridge rises at a rate of [tex]3\ \frac{2}{3}[/tex] feet per minute. This means that the drawbridge rises  [tex]3\ \frac{2}{3}[/tex] in a minutes.

Convert from mixed fraction to decimal number:

 [tex]3\ \frac{2}{3}\ ft=(3+0.66)\ ft=3.6\ ft[/tex]

Since the drawbridge rises to a height of 50 feet, you need to apply this procedure in order to find the time the drawbridge takes to completely rise:

[tex]time=\frac{(1\ min)(50\ ft)}{3.66\ ft}=13.6\ min[/tex] or [tex]13\ \frac{7}{11}\ min[/tex]

Answer:

183 2/3

Step-by-step explanation:

3 2/3 feet minute * 50 feet

11/3 * 50 = 550/3 = 183 2/3