Question

Find the time taken by rabbit to reach its burrow and write an expression for the time it will take the coyote to get to the burrow.

• A. $\left(\frac{1+x}{1500}\right)s$.
• B. $\left(\frac{30-x}{50}\right)s$.
• C. $\left(\frac{30+x}{50}\right)s$.
• D. $\left(\frac{x-30}{50}\right)s$.

Answer 1

The correct option is C $\left(\frac{30+x}{50}\right)s$.

Given, rabbit is 30 feet away from its burrow.
Speed of rabbit = 25 feet per second
Time taken by rabbit to reach its burrow $=\frac{30}{25}=\frac{6}{5}=1.2s$
From the figure it is clear that Coyote is (30+x) feet away from the burrow and his speed is 50 feet per second.
So, expression for time taken by coyote to reach the rabbit's burrow $=\left(\frac{30+x}{50}\right)s$.