MATH SOLVE

2 months ago

Q:
# The top running speed of a cheetah is double the top running speed of a jackal. The top running speed of an elk is 11 miles per hour faster than that ofa jackal. If each of these three animals could run at top speed for an hour (which, of course, is not possible), they could run a combined distance of 151miles. What is the top running speed of each of these three animals?

Accepted Solution

A:

Answer:The speed of Jackal is 35 miles per hour.The speed of Cheetah is 70 miles per hour.The speed of Elk is 46 miles per hour.Step-by-step explanation:Consider the provided information.Let J represents the top speed of jackal.The top running speed of a cheetah is double the top running speed of a Jackal. This can be written as: Cheetah = 2JThe top running speed of an elk is 11 miles per hour faster than that of a Jackal. Elk = J + 11If each of these three animals could run at top speed for an hour (which, of course, is not possible), they could run a combined distance of 151.This can be written as:[tex]2J+J+J+11=151[/tex][tex]4J=151-11[/tex][tex]4J=140[/tex][tex]J=35[/tex]Hence, the speed of Jackal is 35 miles per hour.The speed of Cheetah is 2J = 2×35 = 70Hence, the speed of Cheetah is 70 miles per hour.The speed of Elk is J + 11 = 35+11 = 46The speed of Elk is 46 miles per hour.