Respuesta :
The correct answers are A) 7.4 km/hr and B) 81.2 in/s.
Explanation:
A) The original ratio is 1 mi/13 min. We know that 1 mi = 5280 feet, so we have 5280 ft/13 min.
Each foot is 12 inches, so we have 5280*12 = 63360 in
63360 in/13 min
Each minute is 60 seconds; 13*60 = 780
63360 in/780 sec.
Dividing this, we get 81.2 in/sec.
B) 1 mi/13 min; 1 mile = 1609 m, so we have 1609 m/13 min.
1 m = 1000 km, so 1609 m = 1609/1000 = 1.609 km; this gives us 1.609 km/13 min.
An hour is 60 minutes, so we have 1.609 km/(13/60) hr; dividing this, we get 7.4 km/hr.
Explanation:
A) The original ratio is 1 mi/13 min. We know that 1 mi = 5280 feet, so we have 5280 ft/13 min.
Each foot is 12 inches, so we have 5280*12 = 63360 in
63360 in/13 min
Each minute is 60 seconds; 13*60 = 780
63360 in/780 sec.
Dividing this, we get 81.2 in/sec.
B) 1 mi/13 min; 1 mile = 1609 m, so we have 1609 m/13 min.
1 m = 1000 km, so 1609 m = 1609/1000 = 1.609 km; this gives us 1.609 km/13 min.
An hour is 60 minutes, so we have 1.609 km/(13/60) hr; dividing this, we get 7.4 km/hr.
Answer:
a) 81.23 in per second , b) 7.44 km / hour.
Step-by-step explanation:
Given: a slow jogger runs a mile in 13 min.
To find: Calculate speed in. a) in/s b) Km/h
Solution : We have given that jogger runs 1 mile = 13 min.
We know that 1 mile = 63360 inches
i minute = 60 second
Then Speed = [tex]\frac{Distance}{time}[/tex]
Then Speed = [tex]\frac{1 mile}{1 minute}[/tex]
a ) In inches / second
Plug 1 mile = 63360 inches
13 mint = 780 second
Speed = [tex]\frac{63360 inches}{780 second}[/tex]
Speed = 81.23 in per second .
b) For km/h
Given 1 mile = 1609 m
1 kilometer = 1000 meter
1 mile = 1.609 km
1 hour = 60 mint
1 mint = 1/60
13 mint = [tex]\frac{13}{60}[/tex].
13 mint= 0.216 hour
Then Speed = Speed = [tex]\frac{ 1.609 km}{ 0.216 hour}[/tex]
Speed = 7.44 km / hour.
Therefore, a) 81.23 in per second , b) 7.44 km / hour.