Respect Responsibility
Readiness
1.
Doug
Upp can dig a ditch in 4 hours. Mark Upp can dig the same ditch in 3 hours. How
long (in hours) would it take them to dig it together?
2.
If
Butch Err can type a paper in 5 hours and together he and Janet can
type it in 2 hours, how long would it take Janet type the same paper alone?
3.
Two
women paint a barn. Barbara can paint it alone in 5 days, Sara in 8 days. They
start to paint it together, but after 2 days Sara gets bored and Barbara
finishes alone. How long does it take her to finish?
4.
A
swimming pool can be filled by an inlet pipe in 10 hours and emptied by an
outlet pipe in 12 hours. One day the pool is empty and the owner opens the inlet
to fill the pool. But he forgets to close the outlet. With both pipes open, how
long will it take to fill the pool?
5.
Manny,
Moe, and Jack work at Pepboys. If each worked alone, it would take Manny 10
hours, Moe 8 hours, and Jack 12 hours alone. One day Manny came to work early
and he had worked for 2 hours when Moe and Jack arrived and all three finished
the job. How long did they take to finish?
6. Tim, Dick, and Harry
decided to fence a vacant lot adjoining their properties. If it would take Tom 4
days to build the fence, Dick 3 days, and Harry 6 days, how long would it take
them working together?
7. John and Charles are
linemen. John can string 10 miles of line in 3 days, while together they can
string it in 1 day. How long would it take Charles alone to string the same
line?
8. A firm advertises for
workers to address envelopes. Patty says she will work 1OO hours. Herb will work
for 80 hours. If each can address 10,000 envelopes in the time they work, how
long would it take them to address 10,000 envelopes if they work together?
9.
Jimmy D Lock cataloged a group of incoming library books in 8 hours. Eva Lu Shun
can catalog the same number of books in 4 hours. Phil T Hans can catalog them in
6 hours. How long would it take if they all worked together?
10. One machine can complete a
job in 10 minutes. If the same job is done by this machine and an older machine
working together, the job can be completed in 6 minutes. How long would it take
the older machine to do the job alone?
11. A pond is being drained by
a pump. After 3 hours, the pond is half empty. A second pump is put into
operation, and together the two pumps finish emptying the pond in half an hour.
How long would it take the second pump to drain the pond if it had to do the
same job alone?
12. Eb and Flo are bricklayers.
Eb can lay bricks for a fireplace and chimney in 5 days. With Flo’s help he
can build it in 2 days. How long would it take Flo to build it alone?
13. Lotta Spences can paint a
car in 8 hours. Ernest Worker can paint the same car in 6 hours. They start to
paint the car together. After 2 hours, Lotta leaves for lunch and Ernest
finishes painting the car alone. How long does it take Ernest to finish?
14. Bill, Bob, and Barry are
hired to paint signs. In 8 hours Bill can paint I sign, Bob can paint 2 signs,
and Barry can paint 1 1/3 signs. They all come to work the first day, but Barry
doesn’t like the job and quits after 3 hours. Bob works half an hour longer
than Barry and quits. How long will it take Bill to finish the two signs they
were supposed to paint?
15. Art Tillery has to grind
the valves on his Mercedes. He estimates it will take him 8 hours. His friends
Moe Tell and Fran Tick have done the same job in 10 and 12 hours, respectively.
Art had worked for 2 hours when Moe came along and helped him for 2 hours. Moe
worked another half an hour alone and then Fran came along and together they
finished the job. How long did it take them to finish?
16. Mr. Caleb hires Jay and
Debbie to prune his vineyard. Jay can prune the vineyard in 50 hours, and Debbie
can prune it in 40 hours. How many hours will it take them working together?
17. A high school hiking club
held a car wash to raise money for equipment. Rudy, Cheryl, Tom, and Pat
volunteered to help. Rudy could wash a car in 10 minutes, Cheryl in 12,Tom in 8,
and Pat in 15. They all started on the first car, but after 2 minutes another
car came in and Pat and Tom went to work on it. One minute later Rudy quit to
take care of another customer. How long did it take Cheryl to finish the first
car alone?
18. Harry can paint a room in 3
hours, and Kerry can paint it in 4 hours. How long will it take if they work
together?
19. Matthew can build a block
wall in 3 days. Andy can build the wait in 5 days. How long will it take if they
work together?
20. Pump A can fiIl a tank in 8
hours. Pump B can fill the tank in 6 hours. How long will it take to fill the
tank using both pumps?
21. To do a job alone, it would
take Jennifer 5 hours, Bob 8 hours, and George 10 hours. How long would it take
if they all work together?
22. Susan and Mary working
together can rake a lawn in 2 hours. Susan can do the job alone in 3 hours. How
long would it take Mary lo rake the lawn alone?
23. Pipe A can empty a pool in
8 hours. It Pipe B is also used, the pool can be emptied in 3 hours. How long
would it take Pipe B, by itself, to empty the pool?
24. Noah can build an ark in 40
days. Together, Noah and his wife can build the ark in 24 days. How long would
it take Noah’s wife working alone?