Please help!!!! I am very stuck :(

Question

Can someone please help me do this problem? If you could at least give me the directions and steps but not the answers, that would be great :) 

 

You and your friend live 12 miles apart. You leave home at the same time and travel toward each other. You walk at a rate of 4 mph and your friend bikes at a rate of 11 mph.

 

A. How long after you leave home will you meet? How far from home will each of you be?

B. Suppose your friend bikes at 12 mph. How much sooner would you meet? How far from home will each of you be?

Answer 1

Hello Lexi,

 

You have asked several questions, so let's answer them one at a time.

 

1. The time T before you and your friend meet can be calculated based on a simple formula:

 

T*(4mph+11mph)=12mile,

 

giving the answer; T = 12/(4+11) = 0.8 hr

 

2. The distance you travel from the home to a meeting place is: 4 * 0.8 = 3.2 mile

 

3. The distance your friend travels is: 11 * 0.8 = 8.8 mile. You can also calculate it by subtracting your travel distance from the total of 12 miles like: 12 - 3.2 = 8.8 miles.

 

You can apply the same technique to solve a second problem (assuming your friend bikes at 12 mph).

 

Hope this will help.