Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
8. An Introduction to Equations
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Exercise 66 Page 58

Find the curbing that needs to be installed and the effective working time first.

No, see solution.

Practice makes perfect
We want to find out if the crew will be able to finish the job. We can start by finding the amount of curbing left to be installed. The total curbing for the job is 550ft but, on the first day, 272 ft were installed. With this information, we can find the curbing left to install on the second day. 550 - 272 = 278 ft The construction crew has 10 working hours to do this. However, we need to consider that 15 minutes will be used to drive to the site, 45 minutes to break down the equipment, and 1 hour for lunch time. Let's express 15 and 45 minutes in hours. To do so, we divide by 60. 15 min &Ă· 60 âź¶ 15/60= 0.25 h [0.8em] 45 min &Ă· 60 âź¶ 45/60= 0.75 h Let's continue then by finding the effective working time. To do so, we will subtract the addition of 0.25, 0.75, and 1 from 10. Note that all these times are expressed in hours!
10 - ( 0.25 + 0.75 + 1 )
10 -2
8
The effective working time will only be 8 hours. We know that the curbing installation is carried out at a speed of 32 feet per hour. Let's calculate the curbing that the crew can install in 8 hours. To do so, we multiply 32 by 8.
32 fth * 8 h
32 fth * 8 h
256 ft
The crew can install 256 feet in 8 hours. Therefore, since the curving left to install is 278 feet, they will not be able to finish the job.