Applications of rational equations - Rational Equations and Expressions

Applications of rational equations

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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

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	Distance	Speed	Time
Train
Boat		b

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Lessons

1.

2.

Two consecutive even whole numbers are selected. The difference between the reciprocal of the two numbers is 1144\frac{1}{144} 1441​. Determine the numbers.

3.

A rectangular cubicle in an office has an area of 81m2^22. 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?