Q.305 Mike, an experienced bricklayer,... [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.305 (page 719)

Mike, an experienced bricklayer, can build a wall in 3 hours, while his son, who is learning, can do the job in 6 hours. How long does it take for them to build a wall together?

Short Answer

Expert verified

Together it will take them $2 h r s$

Step by step solution

Given information

Mike can build a wall in 3 hours, and his son, who is learning, can do the job in 6 hours

We 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 done in one hour
Father	$3$	$\frac{1}{3}$
Son	$6$	$\frac{1}{6}$
Together	$t$	$\frac{1}{t}$

We write the above in the equation

We get, $\frac{1}{3} + \frac{1}{6} = \frac{1}{t}$

Solve and find the values of t

We get

$\frac{1}{t} = \frac{1}{3} + \frac{1}{6} \frac{1}{t} = \frac{6 + 3}{18} \frac{1}{t} = \frac{9}{18} t = \frac{18}{9} t = 2$

Conclusion

Together it would take them 2 hours to complete the work

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91影视

Mike, an experienced bricklayer, can build a wall in 3 hours, while his son, who is learning, can do the job in 6 hours. How long does it take for them to build a wall together?

Short Answer

Step by step solution

Given information

We complete the table

We write the above in the equation

Solve and find the values of t

Conclusion

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