Q.306 It takes Sam 4 hours to rake the... [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.306 (page 719)

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

Together it would take them $\frac{8}{6} h r s$ to complete the work

Step by step solution

Given information

Sam takes 4 hours to rake the front lawn while his brother, Dave, can rake the lawn in 2 hours.

We complete the table

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

	Number of hours required to complete the work	Amount of work completed in one hour
Sam	$4$	$\frac{1}{4}$
Dave	$2$	$\frac{1}{2}$
Together	$t$	$\frac{1}{t}$

Write the above in the equation form

We get $\frac{1}{4} + \frac{1}{2} = \frac{1}{t}$

Simplify and solve for t

$\frac{1}{4} + \frac{1}{2} = \frac{1}{t} \frac{1}{t} = \frac{2 + 4}{8} t = \frac{8}{6}$

Conclusion

Together it would take them $\frac{8}{6} h r s$ .

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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

Given information

We complete the table

Write the above in the equation form

Simplify and solve for t

Conclusion

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