I really need help with my homework!!! It’s due tomorrow!?

I am in Algebra 1 and really having trouble with this problem. Please try to solve and show me step by step what you did! Thanks in advance.

A cheetah running 65 miles per houris 1 mile behind a gazell running 47 miles per hour. How long will it take for the cheetah to catch the gazelle?

Top 2 Answers

A few days ago

Jen

Favorite Answer

C = the cheetah’s position along the number line

G = the gazelle’s position on the number line

At the start, C = 0 and G = 1 because the gazelle is one mile ahead of the cheetah.

t = time in hours

C = 65*t would tell you how far the cheetah ran in t hours.

G = 47*t + 1 would tell you the same thing for the gazelle, taking into account its head start.

We want C = G, which means they are in the same place on the number line, meaning the cheetah caught up to the gazelle.

65*t = 47*t + 1

Subtract 47*t from both sides.

65*t – 47*t = 1

Factor out the t.

(65 – 47)*t = 1

(18)*t = 1

t = 1/18 hours

A few days ago

Anonymous

About as long as it would take you to figure it out if you actually tried.

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