Warm – up #5 1. Annie and Matt are 1200 miles apart when they started driving towards each other. Annie is driving at 70 mph, and Matt is driving at 80 mph. When will they pass each other? RateTimeDistance Annie Matt Total x x 70x 80x 70x + 80x = 1200 = hrs

Homework Log Thurs 10/8 Lesson 2 – 2 Learning Objective: To solve work problems Hw: #206 Pg. 113 #33 – 38 all & RE-DO 4, 11, 15, 26, 29

10/8/15 Lesson 2 – 2 Work Problems Day 4 Advanced Math/Trig

Learning Objective To solve work problems

Work If it takes 6 hours to complete 1 job, what part of the job is complete in 1 hour? If it takes 4 hours to complete 1 job, what is the rate?

Work Problem 1. James can dig a ditch in 5 days and Toby can dig a ditch in 2 days. How long will it take for both James & Toby to dig the ditch if they work together? Alone Rate Time Together Part of Job Completed James Toby x x James’s part + Toby’s part = 1 Whole Job Completed =

Alone Rate Time Together Part of Job Completed James Toby x x James’s part + Toby’s part = 1 Whole Job Completed = (10) Work Problem #1 Cont’d

Drain/Work Problem 2. An Olympic sized pool can be filled by pipe A in 18 hours and by pipe B in 12 hours. There is also a drain pipe that drains the entire pool in 8 hours. If the valves of pipe A, pipe B and the drain pipe are open, how long will it take to fill the pool? Alone Rate Time Together Part of Job Completed Pipe A Pipe B Drain Pipe x x = x

Alone Rate Time Together Part of Job Completed Pipe A Pipe B Drain Pipe x x = x Pipe A’s part + Pipe B’s part + Drain’s part= 1 Whole Job Completed (72) hours Drain/Work Problem #1 Cont’d

Work Problem 3. Working together, Karlie and Erin can sweep a porch in 5.65 minutes. If Erin worked alone, it would have taken her 10 minutes. How long does it take Karlie to sweep the porch alone? Alone Rate Time Together Part of Job Completed Karlie Erin 5.65 Karlie’s part + Erin’s part = 1 Whole Job Completed =

Alone Rate Time Together Part of Job Completed Karlie Erin 5.65 Karlie’s part + Erin’s part = 1 Whole Job Completed = Work Problem #3 Cont’d x = 10x 56.5 = 4.35x minutes

Work Problem 4. A tank can normally be filled in 6 hours. But after the tank developed a leak, it took 10 hours to fill. How long would it take the leak to empty the full tank? Alone Rate Time Together Part of Job Completed Fill Leak 10 Fill + Leak = 1 Tank Emptied =

Alone Rate Time Together Part of Job Completed Fill Leak 10 Fill + Leak = 1 Tank Emptied = Work Problem #4 Cont’d 10x – 60 = 6x 4x = hours

Work Problem 5. It takes Sam and Sabrina 20 hours to build a Lego set, and Sabrina works four times as fast as Sam. How long would it take if Sam worked alone? Alone Rate Time Together Part of Job Completed Sabrina Sam 20 Sam’s Part + Sabrina’s Part = 1 Job Completed =

Alone Rate Time Together Part of Job Completed Sabrina Sam 20 Sam’s Part + Sabrina’s Part = 1 Job Completed = Work Problem #5 Cont’d = 4x 100 = 4x 100 hours x = 25

Ticket Out the Door Cody can harvest a field in 11 hours. One day, his friend Luke helped him and it only took 5.96 hours. How long would it take Luke to do it alone?

Homework #206 Pg. 113 #33 – 38 all & RE-DO 4, 11, 15, 26, 29