Work/Rate – Mini Test
No.of Questions:15
Time :40 minutes
1. If w women can do a job in d days, then how many days will it take (w + n) women to do the
job if all the women work at the same pace?
A.
B.
C.
D.
E.
2. At their respective rates, pump A, B, and C can fulfill an empty tank, or pump-out the full tank
in 2, 3, and 6 hours. If A and B are used to pump-out water from the half-full tank, while C is
used to fill water into the tank, in how many hours, the tank will be empty?
A. 2/3
B. 1
C. 3/4
D. 3/2
E. 2
3. Running at their respective constant rates, machine X takes 2 days longer to produce w widgets
than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days,
how many days would it take machine X alone to produce 2w widgets.
A. 4
B. 6
C. 8
D. 10
E. 12
4. It takes machine A 'x' hours to manufacture a deck of cards that machine B can manufacture in
'y' hours. If machine A operates alone for 'z' hours and is then joined by machine B until 100
decks are finished, for how long will the two machines operate simultaneously?
A. (100xy – z)/(x + y)
B. y(100x – z)/(x + y)
C. 100y(x – z)/(x + y)
D. (x + y)/(100xy – z)
E. (x + y – z)/100x
5. If Dev works alone he will take 20 more hours to complete a task than if he worked with Tina to
complete the task. If Tina works alone, she will take 5 more hours to complete the complete
the task, then if she worked with Dev to complete the task? What is the ratio of the time taken
by Dev to that taken by Tina if each of them worked alone to complete the task?
A. 4 : 1
B. 2 : 1
C. 10 : 1
D. 3 : 1
E. 1 : 2
6. Machine A and machine B are each used to manufacture 660 sprockets. It takes machine A 10
hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more
sprockets per hour than machine A. How many sprockets per hour does machine A produces?
A. 6
B. 6.6
C. 60
D. 100
E. 110
7. Abel can complete a work in 10 days, Ben in 12 days and Carla in 15 days. All of them began
the work together, but Abel had to leave after 2 days and Ben 3 days before the completion of
the work. How long did the work last?
A. 6
B. 7
C. 8
D. 9
E. 10
8. A furniture manufacturer has two machines, but only one can be used at a time. Machine A is
utilized during the first shift and Machine B during the second shift, while both work half of the
third shift. If Machine A can do the job in 12 days working two shifts and Machine B can do the
job in 15 days working two shifts, how many days will it take to do the job with the current
work schedule?
A. 14
B. 13
C. 11
D. 9
E. 7
9 . Workers should finish a job in 8 days. After 3 days, 4 workers joined them. How many days do
they need to finish the same job?
A. 3
B. 4
C. 5
D. 6
E. 7
10. Three small pumps and one large pump are filling a tank. Each of the three small pumps works
at 2/3rd the rate of the large pump. If all 4 pumps work at the same time, then they should fill the
tank in what fraction of time that it would have taken the large pump alone?
a.4/7
b. 1/3
c. 2/3
d.3/4
11. A water tank has three taps A, B, and C. A fills four buckets in 24 mm, B fills 8 buckets in 1
hour and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied
in 2 hours. If a bucket can hold 5 litres of water, what is the capacity of the tank?
a.120 litres
b. 240 litres
c. 180 litres
d. 60 litres
12. There is leak in the bottom of a tank. This leak can empty a full tank in 8 hours. When the
tank is full, a tap is opened into the tank which admits 6 litres per hour and the tank is now
emptied in 12 hours. What is the capacity of the tank?
a.28.8 litres
b. 36 litres
c. 144 litres
d. Cannot be determined
13. Ram starts working on a job and works on it for 12 days and completes 40% of the work. To
help him complete the work he employs Ravi and together they work for another 12 days and
the work gets completed. How much more efficient is Ram than Ravi?
a.50%
b. 200%
c. 60%
d. 100%
14. A,B and c can independently do a work in 15 days,20 days and 30 days respectively. They
work together for sometime after which C leaves. A total of Rs.18,000 is paid for the work and B
gets Rs.6000 more than C. For how many days did A work?
a. 2
b. 4
c. 6
d.8
15. There's a lot of work in preparing a birthday dinner. Even after the turkey is in oven, there's
still the potatoes and gravy, yams, salad, and cranberries, not to mention setting the table. Three
friends, Asit, Arnold, and Afzal, work together to get all of these chores done. The time it takes
them to do the work together is six hours less than Asit would have taken working alone, one
hour less than Arnold would have taken, and half the time Afzal would have taken working alone.
How long did it take them to do these chores working together?
a.20 minutes
b.30 minutes
c. 40 minutes
d. 50 minutes