Q.312 Ronald can shovel the driveway i... [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.312 (page 719)

Ronald can shovel the driveway in 4 hours, but if his brother Donald helps it would take 2 hours. How long would it take Donald to shovel the driveway alone?

Short Answer

Expert verified

Donald would take $2 h o u r s$ to shovel the driveway alone

Step by step solution

given information

Ronald can shovel the driveway in 4 hours, his brother Donald helps it would take 2 hours.

Complete the table

Let the time require for Donald to shovel alone be $t$

The completed table can be given as

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

Write it in equation form

The equation can be given as

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

Simplify and find the value of t

We have,

$\frac{1}{4} + \frac{1}{t} = \frac{1}{2} \frac{1}{t} = \frac{1}{2} - \frac{1}{4} \frac{1}{t} = \frac{1}{2} t = 2 h o u r s$

Conclusion

It would take Donald 2 hours to shovel alone

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91影视

Ronald can shovel the driveway in 4 hours, but if his brother Donald helps it would take 2 hours. How long would it take Donald to shovel the driveway alone?

Short Answer

Step by step solution

given information

Complete the table

Write it in equation form

Simplify and find the value of t

Conclusion

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