Applications of rational equations - Rational Equations and Expressions

Applications of rational equations

Lessons

4.
Thomas is going on a vacation to Maui, with a flying distance of 3780 km from home. On the return flight, due to turbulence, the average flying speed was 90 km/hr slower than that of the onward flight. The time taken for the return flight was 1 hr more than for the onward flight.

Applications of rational equations

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.

Get Started Now

	Distance	Speed	Time
Train
Boat		b

Let's keep going.

Play next lesson

Let's learn the next topic

Let's keep going.

Play next lesson

Let's learn the next topic

Goto next topic

Let's keep going

Let's keep going!

Play next lesson or Practice this topic

Start now and get better math marks!

Keep exploring StudyPug

Start now and get better math marks!

Keep exploring StudyPug

Lesson: 1

Selected

Lesson: 2

Lesson: 3

Lesson: 4a

Lesson: 4b

Lesson: 4c

Lesson: 5

Intro

Learn

Practice

Do better in math today

Don't just watch, practice makes perfect.

Do better in math today

Don't just watch, practice makes perfect.

Lessons

1.

2.

Two consecutive even whole numbers are selected. The difference between the reciprocal of the two numbers is 1144\frac{1}{144} ​144​​1​​. Determine the numbers.

3.

A rectangular cubicle in an office has an area of 81m2^2​2​​. During a redesign of the office, the dimensions of the cubicle are altered, yet the area remains unchanged. If the width is tripled and the length is decreased by 6m, what are the dimensions of the redesigned cubicle?

4.

Thomas is going on a vacation to Maui, with a flying distance of 3780 km from home. On the return flight, due to turbulence, the average flying speed was 90 km/hr slower than that of the onward flight. The time taken for the return flight was 1 hr more than for the onward flight.

a)

Calculate the average speed of the journey from home to Maui

b)

Calculate the time taken for the journey from: home to Maui

c)

Calculate the time taken for the journey from: Maui to home

5.

Suppose a chef can cook for the entire restaurant in 4 hours, and his apprentice takes 12 hours. How long would it take the two of them together to cook for the restaurant?

Applications of rational equations

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.

or

Two consecutive even whole numbers are selected. The difference between the reciprocal of the two numbers is $\frac{1}{144}$ . Determine the numbers.

A rectangular cubicle in an office has an area of 81m $^2$ . During a redesign of the office, the dimensions of the cubicle are altered, yet the area remains unchanged. If the width is tripled and the length is decreased by 6m, what are the dimensions of the redesigned cubicle?