The distance covered by the cheetah = 18.34 miles
Step-by-step explanation:The distance coverd by the cheetah is from 40 to 70 miles per hour
If the cheetah used 10 minutes, we convert from minutes to hours
The speed we were given is in miles per hour. While the time is in minutes. So we need to convert from minutes to hour.
Recall, 60 minutes = 1 hour
So if we are converting 10 minutes, we need to divide by 60 to get it in hours
10 minutes = 10/60 hr = 1/6 hr
The distance travelled by the cheetah = Distance travelled in 70mph + Distance travelled in 40mph
Speed = distance/time
distance = speed × time
Distance travelled in 70mph = speed of 70 mph × time of 1/6 hr
= 70 × 1/6 = 70/6 = 11.67 miles
Distance travelled in 40mph = speed of 40 mph × time of 1/6 hr
= 40 × 1/6 = 40/6 = 6.67 miles
The distance covered by the cheetah = 11.67 miles + 6.67 miles
The distance covered by the cheetah = 18.34 miles