Q 450. Brian can lay a slab of concrete... [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 450. (page 1009)

Brian can lay a slab of concrete in $6$ hours, while Greg can do it in $4$ hours. If Brian and Greg work together, how long will it take?

Short Answer

Expert verified

Together, Brain and Greg can lay a slab of concrete in $2 \frac{2}{5}$ hours.

Step by step solution

Step 1. Given information.

Brain can lay a slab of concrete in $6 h o u r s$ and Greg can do it in $4 h o u r s$ .

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

Step 2. To find the time taken.

	Number of hours to complete the job	Part of the job completed/ hours
Brain	$6$	$\frac{1}{6}$
Greg	$4$	$\frac{1}{4}$
Together	$t$	$\frac{1}{t}$

The part competed by Brain plus the part completed by Greg equal the amount completed together.

$\frac{1}{6} + \frac{1}{4} = \frac{1}{t} 12 t [\frac{1}{6} + \frac{1}{4}] = 12 t [\frac{1}{t}] 2 t + 3 t = 12 5 t = 12 t = \frac{12}{5} t = 2 \frac{2}{5} h o u r s$

Therefore, Brain and Greg can lay a slab of concrete in $2 \frac{2}{5} h o u r s$ if they work together.

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91影视

Brian can lay a slab of concrete in $6$ hours, while Greg can do it in $4$ hours. If Brian and Greg work together, how long will it take?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the time taken.

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91影视

Brian can lay a slab of concrete in 6hours, while Greg can do it in 4hours. If Brian and Greg work together, how long will it take?

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

Decision Maths

Mechanics Maths

Logic and Functions

Pure Maths

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Brian can lay a slab of concrete in $6$ hours, while Greg can do it in $4$ hours. If Brian and Greg work together, how long will it take?