Arithmetic 12 : Class Notes || IPMAT Pro 2025.pdf

Ipmat

1. TARGET CAT 2024
Quant : Arithmetic
Time & Work
Part II
Lecture No.- 12
By- VINIT KAKRIYA SIR
PRO/MASTERQUEST
TARGET IPMAT 2025

2. Recap of Previous Lecture :

3. Recap of Previous Lecture :

4. 1)Numerical based on ‘Basic Concepts of Time & Work’
2)Concept & Numerical based on
‘Time & Work (When workers are in LOT)’
3)Problems for Practice & IPMAT PYQs
to be covered

5. QUESTION- 1
7
3
4
A
8
4
5
B
9
3
8
C
7
1
2
D
#Q. A can do 1/3 of the work in 4 days and B can do 2/5 of the work in 8 days. In how
many days both A and B together can do the work?

6. QUESTION- 2
12A
8B
13
1
3
C
5
1
3
D
#Q. A can do 50% more work as B can do in the same time. B alone can do a piece of
work in 20 hours. A, with the help of B, can finish the same work in how many hours?

7. QUESTION- 3
15A
7
120

B
17C
17
1
7
D
#Q. If A can complete the work while working with C in 8 days. C working alone can
complete the work in 12 days while working with B it can complete the work in 10
days. Find out in how many days A and B together can complete the work?

8. QUESTION- 4
#Q. There are two taps, T
1and T
2, at the bottom of a water tank, either or both of
which may be opened to empty the water tank, each at a constant rate. If T
1is opened
keeping T
2closed, the water tank (initially full) becomes empty in half an hour. If both
T
1and T
2are kept open, the water tank (initially full) becomes empty in 20 minutes.
Then, the time (in minutes) it takes for the water tank (initially full) to become empty
if T
2is opened while T
1is closed is [IPMAT Indore PYQ]

9. QUESTION- 5
400
23
hrs A
400
27
hrsB
200
23
hrs C
200
27
hrs D
#Q. Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third
pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and
then pipe R is closed then in what time the tank can be filled. [IPMAT Rohtak PYQ]

10. QUESTION- 6
#Q. Amisha can complete a particular task in twenty days. After working for four
days she fell sick for four days and resumed the work on the ninth day but with half
of her original work rate. She completed the task in another twelve days with the
help of a co-worker who joined her from the ninth day. The number of days required
for the co-worker to complete the task alone would be ______. [IPMAT Indore PYQ]

11. QUESTION- 7
52 days
A
42 days
B
30 days
C
50 days
D
#Q. Work done by P in one day is double the work done by Q in one day and work
done by Q in one day is thrice the work done by R in one day. If P, Q and R together can
complete the work in 30 days then in how many days P alone can do the work?
[IPMAT Rohtak PYQ]

12. QUESTION- 8
Rs. 36A
Rs. 60B
Rs. 108C
Rs. 120D
#Q. If I can do
1
4
of a work in 3 days and ‘B’ can do
1
6
of same work in 4 days, how much
will, ‘A’ get if both work together and are paid ₹ 180 in all [ JIPMAT PYQ ]

13. QUESTION- 9
33 + 4
3
A
33 + 5
3
B
33 + 6
3
C
33 + 7
3
D
#Q. Three workers working together need 1 hour to construct a wall. The first
worker, working alone, can construct the wall twice as fast at the third worker, and can
complete the task an hour sooner than the second worker. Then, the average time in
hours taken by the three workers, when working alone, to construct the wall is
[IPMAT Indore PYQ]

14. Time & Work : [When Workers are in LOT]

15. Time & Work : [When Workers are in LOT]

16. Time & Work : [When Workers are in LOT]
Example:
10 women can complete a work in 7 days and 10 children take 14 days to complete the
work. How many days will 5 women and 10 children take to complete the work?

17. QUESTION- 10
#Q. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys
can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same
type of work will be:
4 daysA
5 days B
6 daysC
7 daysD

18. QUESTION- 11
3 A
5 B
6 C
8 D
#Q. A contractor undertakes to do a piece of work in 40 days. He engages 100 men at
the beginning and 100 more after 35 days and completes the work in stipulated time.
If he had not engaged the additional men, how many days behind schedule would it be
finished? [ JIPMAT PYQ ]

19. QUESTION- 12
24 A
32 B
36 C
40 D
#Q. 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in
10 days. In how many days will 10 women finish it? [ JIPMAT PYQ ]

20. 2 Mins Summary
1)Numerical based on ‘Basic Concepts of Time & Work’
2)Concept & Numerical based on
‘Time & Work (When workers are in LOT)’
3)Problems for Practice & IPMAT PYQs

21. Thank
You