Time & Work - Aptitude Interview Questions with Answers

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?

13	1	days
	3

15 days

20 days

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?

5	1
	2

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?

5	5
	11

5	6
	11

6	5
	11

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:

1	day
24

7	day
24

3	3	days
	7

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)