Question

A lion runs at a speed of 50 mph and a cheetah runs 78 mph. If they both run at a steady rate, how far will a cheetah run in the time it takes a lion to run 13.75 miles?

Answer 1

21.45 miles

Explanation:

Key:

t=time

d=distance

We need to find the time the lion ran first.

The time the lion ran:

13.75=50•t

13.75=50t

-50t=-13.75

t=-13.75•-1/50

t = 0.275

So the lion ran in 13.75 miles in 0.275 of an hour.

Now, we need to figure out the cheetah.

0.275•78=21.45 miles

I hope this helps :-)