Q 448. It takes Sam 4聽hours to rake th... [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 448. (page 1009)

It takes Sam $4$ hours to rake the front lawn while his brother, Dave, can rake the lawn in $2$ hours. How long will it take them to rake the lawn working together?

Short Answer

Expert verified

Sam and Dave takes $\frac{4}{3} h o u r s$ to rake the lawn together.

Step by step solution

Step 1. Given information.

Sam takes $4 h o u r s$ and Dave takes $2 h o u r s$ to rake the front lawn.

Let $t$ the number of the hours needed to complete the job together.

Step 2. To find the time taken.

	Numbers of hours to complete the job	Part of job completed/hours
Sam	$4$	$\frac{1}{4}$
Dave	$2$	$\frac{1}{2}$
Together	$t$	$\frac{1}{t}$

The part completed by Sam plus the part completed by Dave equals to the amount completed together.

$\frac{1}{4} + \frac{1}{2} = \frac{1}{t} 4 t [\frac{1}{4} + \frac{1}{2}] = 4 t [\frac{1}{t}] t + 2 t = 4 3 t = 4 t = \frac{4}{3}$

To rake the lawn together Sam and Dave takes $\frac{4}{3} h o u r s$ .

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91影视

It takes Sam $4$ hours to rake the front lawn while his brother, Dave, can rake the lawn in $2$ hours. How long will it take them to rake the lawn working together?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the time taken.

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91影视

It takes Sam 4hours to rake the front lawn while his brother, Dave, can rake the lawn in 2hours. How long will it take them to rake the lawn working together?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the time taken.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Pure Maths

Logic and Functions

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

It takes Sam $4$ hours to rake the front lawn while his brother, Dave, can rake the lawn in $2$ hours. How long will it take them to rake the lawn working together?