PCSR Civil Service Exam Review Guide 11

After learning age problems in PCSR Review Guide 10, let us now learn motion problems. Motion problems are problems that deal with distance, rate, and time. Watch the videos below and read the articles. From Wednesday to Saturday this week, I will post 10-15 practice problems.

PART I: MATH
A. Videos

  1. Introduction to Motion Problems
  2. How to Solve Motion Problems Part 1
  3. How to Solve Motion Problems Part 2
  4. How to Solve Motion Problems Part 3
  5. How to Solve Motion Problems Part 4
  6. How to Solve Motion Problems Part 5

B. Articles

  1. Introduction to Motion Problems
  2. How to Solve Motion Problems Part 1
  3. How to Solve Motion Problems Part 2
  4. How to Solve Motion Problems Part 3
  5. How to Solve Motion Problems Part 4

Part II: ENGLISH

A. Vocabulary

Civil Service Exam Vocabulary Review 10

B. Grammar

B.1A Subject-verb agreement Practice Test
B.1B Subject-verb agreement Answers

B.2A Grammar and Correct Usage Practice Test
B.2B Grammar and Correct Usage Answers

 

Week 10 Review: Practice Exercises and Problems

After learning how to solve motion problems, let’s answer some exercises and problems.

Exercises

1.)   A car travels and average speed of 75 kph. If it traveled for 3.5 hours, what is the total distance traveled?

2.) A bus traveled 4 hours from City A to City B which is 450 kilometers apart. What is its average speed?

Problem

1.) Two cars left City A at 8:00 am going to City B using the same route. Car 1 traveled at the average speed of 60 kph while Car 2 traveled at an average speed of 50kph. At what time were the two cars 25 kilometers apart?

2.) The road distance from Sapiro City to Lireo City is 195 km. Car 1 left Sapiro City going to Lireo City at an average speed of 70kph. Car 2 left City Lireo City going to Sapiro City at an average speed of 60 kph. If both cars left the two cities at the same time and uses the same road, after how many hours will the two cars meet?

3.) A red car left Vigan at 9:00 AM and traveled to Manila at an average speed of 45 kph. After one hour, a white car left the same place for Manila using the same route at an average speed of 60 kph. At what time will the white car overtake the red car?

4.) Two cars started from the same point, at 12nn, traveling to opposite directions at 50 and 60 kph, respectively. What is the distance between them at exactly 3:30 PM?

5.) Two cars from the same point traveling to opposite directions at 75 and 85 kph, respectively. After how many hours will they be 240 kilometers apart?

6.) A blue car leaves City A for City B at exactly 8:00 AM traveling at average speed of 55 kph. A gray car leaves City B for City A at the same time traveling at an average speed of 45 kph. The distance between the two cities is 75 kilometers.

If the two cars use the same route, what time will they pass each other?

7.) A gray car leaves Batangas City for Quezon City at 11:00 am at an average speed of 50 kph. After one hour, a black car leaves Quezon City for Batangas at an average speed of 60 kph. If the two cars use the same route,  at exactly what time will the two cars pass each other?

Enjoy!

How to Solve Motion Problems Part 3

This is the third part of the How to Solve Motion Problems Series, a part of the Word Problem Solving Series of Ph Civil Service Reviewer. In Part 1 and Part 2 of this series, we discussed objects moving in the same direction. In this part, we are going to discuss objects moving toward each other. We have already discussed four problems in the previous parts of this series, so, we solve the fifth problem.

Problem 5

A car leaves City A and travels towards City B at an average speed of 60 kilometers per hour.  At the same time, another car leaves City B and travels towards city A at an average speed of 70 kilometers per hour. If the two cars use the same route, and if the distance between two cities is 520 kilometers, how many hours before they meet? » Read more

How to Solve Motion Problems Part 2

This is the second part of the How to Solve Motion Word Problem series. I suggest that you read first the introduction to this series as well as the first part in order to understand better.

In the first part of this series, we discusses about a faster object overtaking a slower one who left first.  In this post, we continue to solve motion problems involving two objects traveling in the same direction and one object faster than the other; this time, they left at the same time. We want to know that given a particular time when they are a number of kilometers apart. » Read more

How to Solve Motion Problems Part 1

Now that I have introduced to you motion problems, let us solve the type of problems that usually appear in textbooks as well as examinations. In this part of the series, we will learn how to analyze and solve a problem involving objects moving in the same direction. This is our third problem in the How to Solve Motion Problems Series.

Problem 3

Car A left Math City going to English City at an average speed of 40 kilometers per hour.  Two hours later, Car B traveling 60 kilometers per hour leaves the same place for English City. In how many hours, will the car B overtake Car A? » Read more

Introduction to Motion Problems

We have already finished learning how to solve number problems and age problems, so we continue with learning motion problems. Motion problems deal with moving objects such as cars, planes, boats, etc and their speed, distance traveled and time spent traveling. Walking and running are also usually asked in motion problems. Motion problems also include headwind, tailwind, for planes and other flying objects and upstream and downstream problems on boats traveling in rivers.

Average Speed and Actual Speed » Read more

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