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If two cars leave the same hotel at 8:00 a.m. and one travels directly north at 50 mph for 6 hours and the other travels directly east at 60 mph for 5 hours, how many miles apart will they be at 2:00 p.m.?

Correct Answer:

**B**Distance = Rate(Time)

- The formula that is important for this problem is:

Distance = Rate(Time)

D=RT - The first car is traveling for 6 hours at 50 mph:

D=(50)(6) = 300 miles - The second car is traveling for 5 hours at 60 mph:

D=(60)(5) = 300 miles - Draw a diagram to fill in the information we know and have solved for:

- Since this triangle has a 90 degree angle, the hypotenuse (AB) represents the distance between the two cars at the end of 6 hours.
- Since two sides of the right triangle are equal (i.e., AC = BC = 300), the triangle is a 45-45-90 triangle. Thus, the hypotenuse AB is (side)

Distance Apart = AB = 300