DXC Technology Time and Work Questions and Answers Quiz-1

Correct answer : (b)

Hint:

A\\\'s one day work =	1
	12

B\\\'s one day work =	1
	18

(A + B)\\\'s one day work =	1	+	1	=	(18 + 12)	=	30	=	1
	12		18		(12 x 18)		216		7.2

Together, A & B will finish the work in 7.2 days.

Correct answer :(a)

Hint:

A\'s one day work =	1
	3

B\'s one day work =	1
	5

C\'s one day work =	1
	10

(A+ B+ C)\'s one day work =	1	+	1	+	1	=	1
	3		5		10		1.5

Hence, A ,B & C together will take 1.5 days to complete the work.

Correct answer: (a)

Hint:

If a person can do a part of work in \'n\' days, then person\'s work in 1 day =	1
	n

As painters P1 & P2 paint the bungalows in 3 days, then work done by both painters =	1
	3

As P1 paint it alone in 12 days, then work done by painter P1 =	1
	12

Work done by painter P2 =	1	–	1	=	4 – 1	=	3	=	1
	3		12		12		12		4

Therefore, same work will be completed by painter P₂ in 4 days.

Correct answer: (a)

Hint:
We are given that, A,B, & C together complete the work in 4 days.

We can write, (A+B+C) \'s 1 day work =	1
	4

Similarly, (A+B) \'s 1 day work = 1/6 days & (B+C)\'s 1 day work =	1
	10

Since the work is divided in combination and we are asked to find out the combined work of (A + C), so we can find out,
(A + C)\'s 1 day work = [2 (A+B+C)\'s 1 day work] – [(A+ B) \'s 1 day work + (B+C)\'s 1 day work]

=		2 x	1		–			1		+		1
			4					6				10

=	1	–	16	=	1	–	4	=	7
	2		60		2		15		30

Hence, A & C together can complete the work in 30 /7 days = 4	2	days.
	7

Correct answer :(c)

Hint:
Assume that Pooja completes the job in \'x\' days.
So, Aarti will take \'2x\' days to complete the same job.

As Pooja takes 90 days less than Aarti, we get
x = 2x – 90
By solving this equation, we get x = 90 .
Thus, 2x = 2 x 90 = 180

Part of job done by Pooja in 1 day = 1/ 90
Part of job done by Aarti in 1 day = 1/180

(Part of job done together in 1 day) = (Part of job done by Pooja in 1 day) + (Part of job done by Aarti in 1 day)
= (1/90) + (1/180)
= 3/180
=1/60
(1/60)th part of whole job will be completed by Pooja and Aarti together in one day.

Therefore, the whole job will be completed in 60 days together.

Alternate Method: Since \'A\' is \'m\' times as efficient as \'B\' & takes \'D\' days less than \'B\', then the time required to complete the job together is given by,

T = m x	D
	(m2 – 1)

T = 2 x 90 / [(2)² - 1] = 180 / 3 = 60 days

Correct answer : (b)

Hint: If \'A\' is \'x\' times as good a workman as \'B\', then ratio of work done by A & B = x: 1
Monika\'s 1 day work : Sonika\'s 1 day work = 2:1
(Monika\'s + Sonika\'s ) 1 day work = 1 /20

Divide 1/20 in the ratio 2:1 ---------( To divide the number \'a\' into ratio x & y , we have first part = ax / x + y )

Therefore, Monika\'s 1 day work =		1		x		2	+ 1		=	1
		20				2				30

Hence, Monika will alone finish the work in 30 days.

Correct answer :(a)

Hint: If \'w₁\' work is done by \'m₁\' men by working for \'h₁\' hours per day in \'d₁\' days & \'w₂\' is work done by men \'m₂\' working for \'h₂\' hours per day in \'d₂\' days, then

m1d1h1	=	m2d2h2
w1		w2

Since we need to find \'d₂\', we can re-arrange the formula as,

d2 =	m1d1h1w1
	m12h2w1

=	6 x 7 x 7 x 18
	14 x 9 x 12

= 3.5 days

Correct answer:(c)

Hint:
Assume 1 man\'s 1 day work = x & 1 boy\'s 1 day work = y
From the given data, we can generate the equations as : 4x + 5y = 1/20 ---(1) & 5x + 4y = 1/16 ---(2)
By solving the simultaneous equations (1) & (2),
x = 1/ 80 & y = 0

Therefore, (4 men + 3 boys ) 1 day work = 4 x	1	+ 3 x 0 =	1
	80		20

Thus, 4 men and 3 boys can finish the work in 20 days.

Answer: Option C

Explanation:

(A+B)\'s 1 day work = 1/4

A\'s 1 day work = 1/12

B\'s 1 day work =

So B alone can complete the work in 6 days

Answer: Option B

Explanation:

Please note in this question, we need to answer part of work for a day rather than complete work. It was worth mentioning here because many do mistake at this point in hurry to solve the question

So lets solve now,
A\'s 1 day work = 1/18
B\'s 1 day work = 1/9 [because B take half time than A]

(A+B)\'s one day work =

So in one day 1/6 work will be done.