Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 54)

Page 54 of 182

A train traveled for three hours. In the first hour the train traveled 86 miles, which was 25% farther than it traveled in the first hour. In the third hour the train traveled at a speed of 120 miles per hour for 20 minutes. What is the total distance that the train traveled?

  1. 190.6.
  2. 194.8.
  3. 198.2.
  4. 204.5.
  5. 212.8.

Answer(s): B

Explanation:

In the first hour it traveled 86 miles.
In the second hour it traveled x miles, x + 0.25x = 86 x= 68.8 miles. In the third hour it traveled (120 x 1/3 = 40) miles.
The total distance is (86 + 68.6 + 40 = 194.8) miles.



A cruise ship traveled for 3 hours. In the first hour, the ship sailed at a speed of 25 Km/h, which was 25% faster than the speed in the third hour. In the middle hour the ship sailed at the average speed of the first and third hours. What was the total instance of the ship during the 3 hours of sailing?

  1. 65.
  2. 66.5.
  3. 67.5.
  4. 70.
  5. 72.5.

Answer(s): C

Explanation:

The distance in the first hour is 25 Km.
The speed in the third hour is (25/1.25 = 20 Km/h) and therefore the distance is 20 Km. The average speed is 22.2 Km/h and that is also the distance.
The total distance is 25 + 20 + 22.5 = 67.5 Km.



Two cars are driving towards one another. The first car is traveling at a speed of 120 Km/h, which is 28% faster than the second car. If the distance between the cars is 855 Km, how long will it takes the cars to meet (in hours)?

  1. 2.5.
  2. 3.
  3. 3.5.
  4. 4.
  5. 4.5.

Answer(s): D

Explanation:

The speed of the second car is X, (X + 0.28X = 120) X = 93.75 Km/h.
In order to find the time it will take the cars to meet, you should divide the total distance by the sum of the car's speeds: (855 / (120+93.75) = 4). Therefore the answer is D, four hours.



Three cars are starting to drive from three corners of a huge axi-cimetrical triangle towards the middle. Car A can travel at a speed of 110 miles per hour, car B can travel 10% less and car C can travel the average speed of the first two cars. If all cars leave at the same time and it took car A 30 minutes to get to the middle, how long approximately after car C reached the middle, did car B reached it?

  1. About 15 minutes.
  2. About 10 minutes.
  3. About 5 minutes.
  4. About 1.5 minutes.
  5. They reached the middle at the same time.

Answer(s): D

Explanation:

Start with the speeds of the cars:
Car A can travel at 110 mp/h.
Car B can travel at a speed of (110 x 0.9) 99 mp/h.
Car C can travel at a speed of (110 + 99)/2 = 104.5 mp/h.
If it took car A 30 minutes, the length towards the middle of the triangle is 55 miles. Calculate how long it takes car B and car C travel 55 miles:
Car B It will take her (55/99) hours which is 33 minutes and a third.
Car C It will take her (55/104.5) hours which is approximately 31.6 minutes. Therefore the differences in the time will be approximately 1.5 minutes.



Page 54 of 182



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