Q 602. Lisa takes 3 hours to mow the la... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 602. (page 1028)

Lisa takes 3 hours to mow the lawn while her cousin, Barb, takes 2 hours. How long will it take them working together?

Short Answer

Expert verified

Lisa and Barb will take $\frac{6}{5}$ hours to mow the lawn together.

Step by step solution

Step 1. Given information.

Lisa takes 3 hours to mow the lawn.

Her cousin, Barb, takes 2 hours for the same.

Let's take $t =$ the number of hours needed to mow the lawn together.

Step 2. Find the value of t.

Organize the given information in a chart:

	Number of hours needed to complete the job	Part of the job completed/ hour
Lisa	$3$	$\frac{1}{3}$
Barb	$2$	$\frac{1}{2}$
Together	$t$	$\frac{1}{t}$

The part completed by Lisa plus the part completed by Barb equals the amount completed together.

$\frac{1}{3} + \frac{1}{2} = \frac{1}{t}$

Multiply both sides by the LCD,

$6 t (\frac{1}{3} + \frac{1}{2}) = 6 t (\frac{1}{t})$

Simplify,

$2 t + 3 t = 6 5 t = 6 t = \frac{6}{5} hour$

Working together Lisa and Barb will take $\frac{6}{5}$ hours to mow the lawn.

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91影视

Lisa takes 3 hours to mow the lawn while her cousin, Barb, takes 2 hours. How long will it take them working together?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the value of t.

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