Q 457. Ronald can shovel the driveway i... [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 457. (page 1009)

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 can do the job alone in $4 h o u r s$ .

Step by step solution

Step 1. Given information.

Ronald can shovel the driveway in $4 h o u r s$ .Ronald and Donald can do the job in $2 h o u r s$ .

Let $t$ the number of hours needed for Donald to complete the job alone.

Step 2. To find the time taken.

	Number of hours to complete the job	Part of the job completed/ hours
Ronald	$4$	$\frac{1}{4}$
Donald	$t$	$\frac{1}{t}$
Together	$2$	$\frac{1}{2}$

The part completed by Ronald plus the part completed by Donald equals the amount completed together.

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

Therefore, in $4 h o u r s$ Donald can do the job 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

Step 1. Given information.

Step 2. To find the time taken.

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91影视

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

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

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Discrete Mathematics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

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?