SOLUTION: kali left school and traveled toward her friend's house at an average speed of 40 km/h. matt left one hour later and traveled in the opposite direction with an average speed of 50

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Question 777495: kali left school and traveled toward her friend's house at an average speed of 40 km/h. matt left one hour later and traveled in the opposite direction with an average speed of 50 km/h. how many hours does matt needs to travel before they are 400 km apart?

Answer by hope723(1) (Show Source):
You can put this solution on YOUR website!
Kali r: 40 t:x+1
Matt r: 50 t:x
Okay. First what you're going to do is write your equation, d=rt
Because distance is 400, plug that in. Also, because you have two people, the equation is d=rt+rt, if that makes any sense at all. So here's your equation.

Now use the distributive property.

Now, subtract 40 from both sides of the equal sign.

Combine like terms.

Now, divide both sides by 90.

Therefore, Matt needs to drive four hours before him and Kali are 400 km apart.