Question

Please help As soon as possible!

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

Answer 1

C.=31.68 km/h

Explanation:

Hello

I think I can help you with this

Let

`v=8.8 (m)/(s) \\v=x (Km)/(h)`

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

`(1 kilometer)/(1000 m) =(x\ kilometer)/(8.8 m)`

isolating x

`\\(1 kilometer\ 8.8\ m)/(1000 m) =x\ kilometer\\x=0.0088 Km`

Now the speed is

`v=0.0088 (Km)/(s)`

Step 2

Convert sec ⇒ hours

1 hour =3600 sec

x hour=1 seg

`(1 hour)/(3600\ sec) =(x\ hour)/(1 sec)\\(1 hour\ 1\ sec)/(3600\ sec) =x\ hour\\x=(1)/(3600) hours`

Step 3

find the speed in km/h

`(1)v=0.0088 (km)/(1s)\\(2)1s=(1)/(3600) hous\\`

replacing (2) in (1)

`v=0.0088 (km)/((1)/(3600) hour)\\v=0.0088*(3600\ km )/(hour) \\v=31.68 (km)/(h)`

V=31.68 km/h

Have a great day

Answer 2

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