Question

When Legs jumps 2 times and takes 13 steps forward, he lands in the same place as when he jumps 4 times and takes 5 steps backward.• One jump equals how many steps?

Answer 1

Answer:

9 steps

Step-by-step explanation:

Let $x$ be the number of jumps

and $y$ be the number of steps

So the first case

$2x+13y$

Second case

$4x-5y$

Both cover equal distances so

$2x+13y=4x-5y$

$\Rightarrow 2x-4x=-5y-13y$

$\Rightarrow 2x=18y$

$\Rightarrow x=9y$

So, one jumps is 9 steps.