Question

Acheetah ran 195 yards in 6 seconds. What was the cheetah's average speed in miles per hour? Express the answer rounded to the nearest mile per hour._ 195 yd ? mi 6 sec 1 hr The yard unit needs eliminated The second unit needs eliminated Conversion Factors: 1 mi = 1760 yd 1 min = 60 sec, 1 hr = 60 min 1mi 7 mi 195 yd 60 sec 60 sec 60 min 1 min 1 hr 6 sec 1760 yd 1 hr 195 x 60 x 60 ? mi 6x1760 1 hr

Answer 1

The cheetah covered a distance of 195 yards in 6 seconds . The cheetah average speed in miles per hour can be computed below

Let us convert to the units we want to represent our final answer

1760 yards = 1 miles

195 yards = ?

cross multiply

distance in miles = 195/1760 miles

lets us convert the time

1 minutes = 60 seconds

6 seconds = 6/60 = 1/10 minutes

60 minutes = 1 hour

1/10 minutes = ? hour

cross multiply

`((1)/(10))/(60)=(1)/(600)\text{ hours}`

Therefore, the average speed will be

`\begin{gathered} \text{speed =}\frac{dis\tan ce}{\text{time}} \\ \text{speed}=((195)/(1760))/((1)/(600))=(195)/(1760)*(600)/(1)=(117000)/(1760)=66.4772727273\approx66\text{ miles per hr} \end{gathered}`