Time & Work – Aptitude Interview Questions with Answers 

This blog explains about Time & Work – Aptitude Interview Questions with Answers and is given below : 

 

 
1 . X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?
A
13 1 days
3
B 15 days
C 20 days
D 26 days

Answer: Option A

Explanation:

Work done by X in 8 days =   1 x 8   = 1 .
40 5

 

Remaining work =   1 – 1   = 4 .
5 5

 

Now, 4 work is done by Y in 16 days.
5

 

Whole work will be done by Y in   16 x 5   = 20 days.
4

 

 X’s 1 day’s work = 1 , Y’s 1 day’s work = 1 .
40 20

 

(X + Y)’s 1 day’s work =   1 + 1   = 3 .
40 20 40

 

Hence, X and Y will together complete the work in   40   = 13 1 days.
3 3

 

2 . A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
A 5
B
5 1
2
C 6
D 8

Answer: Option C

Explanation:

B’s 10 day’s work =   1 x 10   = 2 .
15 3

 

Remaining work =   1 – 2   = 1 .
3 3

 

Now, 1 work is done by A in 1 day.
18

 

  1 work is done by A in   18 x 1   = 6 days.
3  

 

3 . P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
A
5 5
11
B
5 6
11
C
6 5
11
D
6 6
11

Answer: Option A

Explanation:

P can complete the work in (12 x 8) hrs. = 96 hrs.

Q can complete the work in (8 x 10) hrs. = 80 hrs.

 P’s1 hour’s work = 1 and Q’s 1 hour’s work = 1 .
96 80

 

(P + Q)’s 1 hour’s work =   1 + 1   = 11 .
96 80 480

 

So, both P and Q will finish the work in   480   hrs.
11

 

 Number of days of 8 hours each =   480 x 1   = 60 days = 5 5 days.
11 8 11 11

 

 4 . 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
A 35
B 40
C 45
D 50

Answer: Option B

Explanation:

Let 1 man’s 1 day’s work = x and 1 woman’s 1 day’s work = y.

Then, 4x + 6y = 1 and 3x + 7y = 1 .
8 10

 

Solving the two equations, we get: x = 11 y = 1
400 400

 

 1 woman’s 1 day’s work = 1 .
400

 

 10 women’s 1 day’s work =   1 x 10   = 1 .
400 40

Hence, 10 women will complete the work in 40 days.

 

  5 .A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
A 4 days
B 6 days
C 8 days
D 12 days

Answer: Option C

Explanation:

(A + B + C)’s 1 day’s work = 1 ;
6

 

(A + B)’s 1 day’s work = 1 ;
8

 

(B + C)’s 1 day’s work = 1 .
12

 

 (A + C)’s 1 day’s work
=   2 x 1     1 + 1  
6 8 12
 
=   1 5  
3 24
 
= 3
24
 
= 1 .
8

So, A and C together will do the work in 8 days.

6 . A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:
A
1 day
24
B
7 day
24
C
3 3 days
7
D 4 days

Answer: Option C

Explanation:

Formula: If A can do a piece of work in n days, then A’s 1 day’s work = 1 .
n

 

(A + B + C)’s 1 day’s work =   1 + 1 + 1   = 7 .
24 6 12 24

 

So, all the three together will complete the job in   24  days = 3 3 days.
7 7

 

7 . A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
A Rs. 375
B Rs. 400
C Rs. 600
D Rs. 800

Answer: Option B

Explanation:

C’s 1 day’s work = 1   1 + 1   = 1 7 = 1 .
3 6 8 3 24 24

 

A’s wages : B’s wages : C’s wages = 1 : 1 : 1 = 4 : 3 : 1.
6 8 24

 

C’s share (for 3 days) = Rs.   3 x 1 x 3200   = Rs. 400.
24

 

  8 . A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
A 18 days
B 24 days
C 30 days
D 36 days

Answer: Option A

Explanation:

2(A + B + C)’s 1 day’s work =   1 + 1 + 1   = 15 = 1 .
30 24 20 120 8

 

Therefore, (A + B + C)’s 1 day’s work = 1 = 1 .
2 x 8 16

 

Work done by A, B, C in 10 days = 10 = 5 .
16 8

 

Remaining work =   1 – 5   = 3 .
8 8

 

A’s 1 day’s work =   1 1   = 1 .
16 24 48

 

Now, 1 work is done by A in 1 day.
48

 

So, 3 work will be done by A in   48 x 3   = 18 days.
8 8

 

9 . A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :
A 4 days
B 6 days
C 8 days
D 18 days

Answer: Option A

Explanation:

Ratio of rates of working of A and B = 2 : 1.

So, ratio of times taken = 1 : 2.

B’s 1 day’s work = 1 .
12

 

 A’s 1 day’s work = 1 ; (2 times of B’s work)
6

 

(A + B)’s 1 day’s work =   1 + 1   = 3 = 1 .
6 12 12 4

So, A and B together can finish the work in 4 days.

 

10 .Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
A 3 : 4
B 4 : 3
C 5 : 3
D Data inadequate

Answer: Option B

Explanation:

(20 x 16) women can complete the work in 1 day.

 1 woman’s 1 day’s work = 1 .
320

(16 x 15) men can complete the work in 1 day.

 1 man’s 1 day’s work = 1
240

 

So, required ratio
= 1 : 1
240 320
 
= 1 : 1
3 4
  = 4 : 3 (cross multiplied)