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Core Connections Integrated I, 2013

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Core Connections Integrated I, 2013 View details

3. Section 6.3

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Exercise 97 Page 341

Treat the situation as if one person is standing still and the other is traveling with the combined speed of both people.

$3$ hours

Practice makes perfect

To solve this exercise, we should treat the situation as if one person is standing still and the other is traveling with the combined speed of both people.

Combined speed : 12 + 8 = 20 mph

By substituting the combined speed and total distance that needs to be traveled for them to meet each other in the equation

d = r t,

we can calculate how many hours it will take.

d = r t

$d = 60$ , $r = 20$

60 = 20 t

$LHS / 20 = RHS / 20$

3 = t

Rearrange equation

t = 3

After

3

hours, Matilda and Nancy will meet.

Subchapter links

6.3.1 Solving Systems Using Elimination p.337-338

6.3.2 More Elimination p.341

6.3.3 Making Connections: Systems, Solutions, and Graphs p.344-346