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

9 steps

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.