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One of the fastest recorded speeds of an alligator on land is 8.8 m/s. Approximately, what is this speed in kilometers per hour? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]

A 2.444 km/h
B 6.336 km/h
C 31.68 km/h
D 0.244 km/h

Respuesta :

Answer: Option C 31.68 km/h

Solution:

Speed=s=8.8 m/s

s=? kilometers per hour=? km/h

s=(8.8 m/ 1 s)*(1 km / 1,000 m)*(3,600 s / 1 h)

s=(8.8*1*3,600)/(1*1,000*1) km/h

s= 31,680/1,000 km/h

s=31.68 km/h

Answer:

C.=31.68 km/h

Step-by-step explanation:

Hello

I think  I can help you with this

Let

[tex]v=8.8 \frac{m}{s} \\v=x \frac{Km}{h}[/tex]

1 hour = 60 minutes = 3,600 seconds

Step 1

convert m ⇒  kilometers

using a rule of three

1 kilometer= 1,000 meters

x? kilometers=8.8 m

[tex]\frac{1 kilometer}{1000 m} =\frac{x\ kilometer}{8.8 m}[/tex]

isolating x

[tex]\\\frac{1 kilometer\ 8.8\ m}{1000 m} =x\ kilometer\\x=0.0088 Km[/tex]

Now the speed is

[tex]v=0.0088 \frac{Km}{s}[/tex]

Step 2

Convert sec ⇒ hours

1 hour =3600 sec

x hour=1 seg

[tex]\frac{1 hour}{3600\ sec} =\frac{x\ hour}{1 sec}\\\frac{1 hour\ 1\ sec}{3600\ sec} =x\ hour\\x=\frac{1}{3600} hours[/tex]

Step 3

find the speed in km/h

[tex](1)v=0.0088 \frac{km}{1s}\\(2)1s=\frac{1}{3600} hous\\[/tex]

replacing (2) in (1)

[tex]v=0.0088 \frac{km}{\frac{1}{3600} hour}\\v=0.0088*\frac{3600\ km }{hour} \\v=31.68 \frac{km}{h}[/tex]

V=31.68 km/h

Have a great day