BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.6, Problem 61E
To determine

To find: The time taken by Candy and Tim together to complete the work.

Expert Solution

Answer to Problem 61E

The time taken by Candy and Tim together is 37 min 20 sec.

Explanation of Solution

Given:

Candy takes 70 min to deliver all the papers and Tim takes 80 min to deliver all the papers.

Calculation:

Let the time taken together by Candy and Tim be x.

Tabulate the given information into the language of algebra.

In words In Algebra
Time taken together by Candy and Tim x
Work done by Candy in 1 min 170
Work done by Tim in 1 min 180
Work done by both Candy and Tim 1x

Model the equation for the above information.

FractiondonebyCandy+FractiondonebyTim=Fractiondonebyboth170+180=1x

Simplify the above equation for x,

8x+7x=560(MultiplybyLCD560x)15x=560x=37.33

Thus, the time taken by Candy and Tim together is 37 min 20 sec.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!