• Menu
  • Skip to primary navigation
  • Skip to secondary navigation
  • Skip to main content
  • Skip to primary sidebar

QA Math

Question Anwer Mathematics online

  • QA Grade 1 Math
  • QA Grade 2 Math
  • QA Grade 3 Math
  • QA Grade 4 Math
  • QA Grade 5 Math
  • Search
  • Home
  • ABOUT US
  • Privacy Policy
  • Contact Us
  • Sitemap
  • QA Grade 1 Math
  • QA Grade 2 Math
  • QA Grade 3 Math
  • QA Grade 4 Math
  • QA Grade 5 Math
  • Search
You are here: Home / QA Grade 5 Math / Solving Math textbook exercises 5 Lessons: Practice

Solving Math textbook exercises 5 Lessons: Practice

30/07/2021 //  by admin//  Leave a Comment

Solving Math textbook exercises 5 Lessons: Practice

1. Solve problem 1 page 171 Math textbook 5

a) Find the speed of a car that travels \(120km\) in \(2\) hours \(30\) minutes.

b) Binh rides a bicycle at a speed of \(15km\)/hour from his house to the bus station in half an hour. How many kilometers is Binh’s house from the bus station?

c) A person walks at a speed of \(5km\)/hr and covers a distance \(6km\). How long has the person been gone?

Solution method

– Convert given time measurements to hours

Apply the following formulas:

\(v = s : t\)

\(s = v × t\)

\(t = s : v\)

(Where \(s\) is distance, \(v\) is speed and \(t\) is time)

Solution guide

Convert: \(2\) hours \(30\) minutes = \(2,5\) hours

Half an hour = \(0.5\) hour

a) The speed of the car is:

\(120 : 2.5 = 48 \,(km\)/hour\()\)

b) The distance from Binh’s house to the bus station is:

\(15 \times 0.5 = 7.5 \, (km)\)

c) The time the person walked is:

\(6 : 5 = 1,2\) (hour)

Answer:

a) \(48km\)/hour

b) \(7.5km\)

c) \(1,2\) hours

2. Solve problem 2 page 171 Math textbook 5

A car and a motorbike start at the same time from A to B. Distance AB is \(90\text{km}\). How long before the car arrives at B, given that the car’s travel time is \(1.5\) hours and the car’s speed is \(2\) times the motorbike’s speed?

Solution method

Step 1: Find the speed of the car given the distance is \(90\text{km}\), the time is \(1.5\) hours

Step 2: Calculate the speed of the motorbike, if the speed of the car is twice the speed of the motorbike

Step 3: Calculate the time taken by the motorbike to travel the distance AB

Step 4: Calculate the time the car arrives in front of the motorbike

Solution guide

The speed of the car is:

\(90 : 1.5 = 60\) (km/hr)

The speed of the motorcycle is:

\(60 : 2 = 30\) (km/hr)

Time taken by car to travel distance AB is:

\(90 : 30 = 3\) (hour)

Then the car arrives B before the motorbike a time is:

\(3 – 1.5 = 1.5\) (hour)

\(1.5\) hours = \(1\) hours \(30\) minutes.

Answer: \(1\) hours \(30\)​ minutes.

3. Solve problem 3 page 172 Math textbook 5

Two cars start from A and B at the same time and travel in opposite directions, after \(2\) hours they meet. Distance AB is \(180\text{km}\). Find the speed of each car, knowing that the speed of the car going from A is \(\dfrac{2}{3}\) the speed of the car going from B.

Solution method

Step 1: Calculate the total speed of the two cars (take the distance \(180km\) divided by the time the two cars meet)

Step 2: Draw a diagram showing the velocity relationship of the two cars

Step 3: Calculate the velocity of each car

Solution guide

The total velocities of the two cars are:

\(180 : 2 = 90\;(km/\) hours)

We have a diagram:

According to the diagram, the total number of equal parts is:

\(2 + 3 = 5\) (part)

The speed of the car going from A is:

\(90 : 5 × 2 = 36\) \((km/\)hour)

The speed of the car going from B is:

\(90 – 36 = 54\) \((km/\)hour)

Answer: Car goes from A: \(36km/\)hour; Car goes from B: \(54 km/\)hour.

.

=============

Related Articles:

  1. Solving Math textbook exercises 5 Lessons: General practice
  2. Solving Math textbook exercises 5 Lessons: General practice
  3. Solving Math textbook exercises 5 Lessons: General practice
  4. Solving Math textbook exercises 5 Lessons: General practice
  5. Solving Math textbook exercises 5 Lessons: General practice
  6. Solving Math textbook exercises 5 Lessons: General practice
  7. Solve the math textbook exercise 5 Lesson: Review of the chart
  8. Solving Math textbook exercises 5 Lessons: Practice
  9. Solving Math textbook exercises 5 Lessons: Practice
  10. Solve math textbook exercises 5 Lessons: Some types of learned problems

Category: QA Grade 5 MathTag: 5 Maths Textbook Prize, 5th Grade Math Chapter 5, Math 5, Solve Maths 5

Previous Post: « Solving Math textbook exercises 5 Lessons: Practice
Next Post: Solving Math textbook exercises 5 Lessons: Practice »

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Recent Posts

  • Question 50: Choose the most correct sentence?
  • Question 50: The result of division \(\frac{3}{4}{(xy)^3}:\left( { – \frac{1}{2}{x^2}{y^2}} \right) \) is:
  • Question 49: Which of the following statements is false?
  • Question 49: Perform division \( {\left( { – {x^3}y} \right)^5}:\left( { – {x^{12}}{y^2}} \right) \) I get
  • Question 48: R intersects I =

Categories

  • Fractions (100)
  • Functions and applications (1,013)
  • Grade 10 Math (38)
  • Grade 11 Math (42)
  • Grade 12 Math (62)
  • Integers (249)
  • Natural numbers (210)
  • Plane geometry (20)
  • Polynomial (294)
  • QA Grade 1 Math (181)
  • QA Grade 2 Math (259)
  • QA Grade 3 Math (254)
  • QA Grade 4 Math (195)
  • QA Grade 5 Math (228)
  • QA Grade 6 Math (67)
  • QA Grade 7 Math (58)
  • QA Grade 8 Math (74)
  • QA Grade 9 Math (61)
  • Rational numbers (548)
  • Set (160)
  • Home
  • ABOUT US
  • Privacy Policy
  • Contact Us
  • Sitemap

Copyright © 2022 · Question and Anwer Mathematics online. LLODO - Question Answer English- Question Answer QANDA- Q&A ORGANIC