## 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

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

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

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

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

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

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

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

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

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

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)