Lionel left his house and walked towards Walt's house

Gmat_mission wrote:Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 4 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?

A. 12
B. 16
C. 20
D. 24
E. 28

[spoiler]OA=D[/spoiler].

Why is 24? I obtained 16. Can anyone help me? Thanks in advanced.

Hello, let's take a look at the question.

The distance between the houses is 48 miles.

- Lionel's speed was 4 miles per hour.
- Walt's 6 miles per hour.

"Two hours later, Walt left his house and ran towards Lionel's house", at this time Lionel was walked 4*2=8 miles. Hence, their distance is 48-8=40 miles.

Now, we will use the formula: $$D=V\cdot T\ \ \Rightarrow\ \ 40=\left(V_L+V_W\right)\cdot T\ \Rightarrow\ 40=\left(4+6\right)\cdot T$$ $$\Rightarrow\ \ 40=10\cdot T\ \Rightarrow\ \ T=4\ hours.$$ Now, it took 4 hours to met each other. This implies that Lionel walked 2+4=6 hours. Then he walked: $$D=V_L\cdot T_L\ \ \ \Rightarrow\ \ D=4\cdot6\ =24\ miles.$$ Hence, the correct answer is the option D.

I really hope it helps you.