Question

Lilly starts hiking along a trail at 3 miles per hour. Dave starts hiking the same trail from the same starting point at 3.5 miles per hour. If lilly walked 2 miles before Dave started hiking , will he catch up to her ? write a equation ​

Answer 1

Given:

Lilly starts hiking along a trail at 3 miles per hour.

Dave starts hiking the same trail from the same starting point at 3.5 miles per hour.

lilly walked 2 miles before Dave started hiking.

To find:

Whether he will catch up to her and write an equation.

Step-by-step explanation:

Let the number of hours when both are hiking be h.

lilly walked 2 miles before Dave started hiking at 3 miles per hour.

Lilly hiking = 2+3h

Dave starts hiking the same trail from the same starting point at 3.5 miles per hour.

Dave hiking = 3.5 h

He will catch her if hiking distance of both are equal.

$2+3h=3.5h$

Subtract 3h from both sides.

$2=3.5h-3h$

$2=0.5h$

Divide both sides by 0.5.

$\dfrac{2}{0.5}=h$

$4=h$

Therefore, Dave will catch her after 4 hours.