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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 7.102 (page 710)

Tracy can lay a slab of concrete in 3 hours, with Jordan’s help they can do it in 2 hours. If Jordan works alone, how long will it take?

Short Answer

Expert verified

If Jordan works alone then he will take 6 hours.

Step by step solution

01

Given information

The problem has the information of the work done by Tracy and Jordan.

02

Form the rational equation and solve

Use the given sentence to form the required rational equation.

As given, Tracy(T) takes 3 hours to work alone whereas Tracy (T) and Jordan(J) together take 2 hours.
Hence the equation is formed as $\frac{1}{3} + \frac{1}{J} = \frac{1}{2} . . . . . . . . . . . . . (1)$ .
Now solve equation (1) to find the time taken by Jordan(J) alone.

$\begin{array}{rcl} \frac{1}{3} + \frac{1}{J} & = & \frac{1}{2} \\ \frac{1}{J} & = & \frac{1}{2} - \frac{1}{3} \\ = & \frac{3 - 2}{6} \\ = & \frac{1}{6} \\ J & = & 6 \end{array}$

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Most popular questions from this chapter

In the following exercise, perform the indicated operation:

$\frac{5}{x^{2} + 8 x - 9} - \frac{4}{x^{2} + 10 x + 9}$

Solve the proportion $\frac{y}{y + 55} = \frac{3}{8}$ .

Solve the proportion $\frac{z}{z - 84} = - \frac{1}{5}$ .

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Write the equation of variation.
What is the demand if the price is raised to $\) 7$ ?

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$\frac{1}{2} - \frac{3}{2 x^{2}} \geq \frac{1}{x}$

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