Question

Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat. suppose Bobbys cat and dog were 6 miles apart after 30 min. Write an equation to describe this situation

Answer 1

The equation to describe this situation is that Bobby's cat and dog were 6 miles apart after 30 minutes is 0.5x = 6

Bobby's cat's speed

Since Bobby's cat runs at x mph, its speed is x mph.

Bobby's dog's speed

Also, Bobby's dog runs twice as fast as his cat. So, his dog's speed is v = 2x.

Time

Since they both move a distance in t = 30 min = 30 min × 1 h/60 min = 0.5 h.

Bobby's cat's distance

Bobby' cat's distance in 30 mins is d = x × 0.5 h

= 0.5x miles

Bobby's dog's distance

Also, Bobby's dog covers a distance in 30 min, D = v × 0.5 h

= 2x × 0.5 h

= x miles

The required equation

Since Bobbys cat and dog were 6 miles apart after 30 min, we have that

D - d = 6

x - 0.5x = 6

0.5x = 6

So, the equation to describe this situation  that Bobby's cat and dog were 6 miles apart after 30 minutes is 0.5x = 6

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