Class Examples – Application Problems
Applications – Work
EX 1
Hannah and Michael have been commissioned to restore the Mona Lisa. It takes Hannah 24 weeks to
restore a painting. It takes Michael 40 weeks. How long will it take Hannah and Michael if they work
together to restore the painting?
15 weeks
EX 2
It takes Tyler an hour and a half to mow the lawn by himself. It takes his brother, Josh, 45 minutes to mow
the same lawn. Tyler begins mowing the lawn, and after 10 minutes, Josh comes home to help. How long
did it take to mow the lawn?
110/3 minutes = 36 23 minutes
EX 3A
A swimming pool can be filled using either a pipe or a hose, or both. Using the pipe alone it takes 12 hours.
Using both, it takes 8 74 hours. How long does it take using the hose alone?
30 hours
EX 3B
If the drain is left open, it takes 15 hours to drain the pool. If the pipe and hose were turned on at the
same time and the drain was left open, is it possible to fill the pool? If so, how long would it take to fill the
pool?
Yes, 20 hours
EX 4 The model 4500 copier can print 10,000 booklets in 4 12 hours. The model 6000 copier can print 10,000
booklets in 6 hours. The model 6000 began printing an order of 10,000 booklets at 1 pm. Because the
company called and needed to pick up the order before 5:00 pm, the model 4500 was also turned on and
began printing the booklets at 2:30. What time did the copiers complete the order?
 4:26 pm
EX 4 The model 4500 copier can print 10,000 booklets in 4 12 hours. The model 6000 copier can print 10,000
booklets in 6 hours. The model 6000 began printing an order of 10,000 booklets at 1 pm. Because the
company called and needed to pick up the order before 5:00 pm, the model 4500 was also turned on and
began printing the booklets at 2:30. What time did the copiers complete the order?
 4:26 pm