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rss GMAT Practice Question (One of Hundreds)
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)
  1. The formula that is important for this problem is:
    Distance = Rate(Time)
    D=RT
  2. The first car is traveling for 6 hours at 50 mph:
    D=(50)(6) = 300 miles
  3. The second car is traveling for 5 hours at 60 mph:
    D=(60)(5) = 300 miles
  4. Draw a diagram to fill in the information we know and have solved for:
    Figure 2
  5. Since this triangle has a 90 degree angle, the hypotenuse (AB) represents the distance between the two cars at the end of 6 hours.
  6. 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 Figure 1(side)
    Distance Apart = AB = 300Figure 1