Transcript Work Word Problems - Sylmar High School

Concurrent Work Problems
t t
Use the formula   1 to solve
a b
work word problems.
t = time together
a = first individuals time
b = second individuals time
1 = the entire job
If Shelly can mow the yard in 3 hours and
Kenny’s brother can mow the yard in 2
hours, how long will it take if they mow the
lawn together ?
t t
 1
3 2
2t  3t  6
5t  6
1
t  1 hours
5
Wendy can build a clubhouse in 3 hours
and Bebe can build a clubhouse in 4
hours, how long will it take if they build
one clubhouse together?
t t
 1
3 4
4t  3t  12
7t  12
5
t  1 hours
7
Shoveling Snow
After a heavy snowfall, Butters can shovel
all of the driveway in 30 minutes. If Pip
helps, the job takes only 20 minutes. How
long would it take Pip to do the job by
himself?
Shoveling Snow
After a heavy snowfall, Butters can
shovel all of the driveway in 30
minutes. If Pip helps, the job takes
only 20 minutes. How long would it
take Pip to do the job by himself?
20 20

1
30 b
 20 20 
30b    130b 
 30 b 
20b  600  30b
600  10b
60  b
Conclusions
• Pip’s rate was 60.
• If Pip shoveled the drive
way by himself it would
take 60 minutes or 1
Hour.
Work & Motion Word
Problems