Q.308 Brian can lay a slab of concrete... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q.308 (page 719)

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 it would take them $\frac{24}{10} h r s$ to complete the work

Step by step solution

Given information

Brian can lay a slab of concrete in 6 hours, whereas Greg can do it in 4 hours.

Complete the table

Let the time required to complete the work together be $t$

Now we complete the table

	Number of hours required to complete the work	Amount of work completed in one hour
Brian	$6$	$\frac{1}{6}$
Greg	$4$	$\frac{1}{4}$
Together	$t$	$\frac{1}{t}$

Write the corresponding equation

We get,

$\frac{1}{6} + \frac{1}{4} = \frac{1}{t}$

Simplify and solve for t

We get,

$\frac{1}{4} + \frac{1}{6} = \frac{1}{t} \frac{1}{t} = \frac{6 + 4}{24} \frac{1}{t} = \frac{10}{24} t = \frac{24}{10}$

Conclusion

Together it would take them $\frac{24}{10} h r s$ to complete the work.

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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

Given information

Complete the table

Write the corresponding equation

Simplify and solve for t

Conclusion

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