## Time and Work Aptitude Questions and Answers

This section focuses on "Time and Work" in Quantitative Aptitude. These Multiple Choice Questions (mcq) should be practiced to improve the Quantitative Aptitude skills required for various interviews (campus interviews, walk-in interviews, company interviews), placements, entrance exams and other competitive examinations.

1. 6 boys and 5girls can do a job in 8 days. When 7 boys and 10 girls work on the same job, the work gets
completed in 5 days. How many days will a boy take to do the job, if he works alone on it?

A. 25

B. 50

C. 75

D. 100

View Answer

Ans : D

Explanation: Let the amount of work done by a boy in a day be 'B' and the amount of work done by a girl in a day be 'G'.

Therefore, 6 boys and 5 girls will do 6B+5G amount of work in a day.

If 6 boys and 5 girls complete the entire work in 8 days, they will complete 1/8 of the work in a day.

6B+5G = 1/8-----(1)

7B+10G=1/5-----(2)

Solving eqn (1) and eqn (2), we get

12B-7B=1/4-1/5

5B=1/20

B=1/100

i.e. a boy does 1/100th of the work in a

2. X does half as much work as Yand Z does half as much work as X and Y together. If Z alone can finish the
work in 120 days, then together ,all will finish the work in ?

A. 20

B. 30

C. 40

D. 50

View Answer

Ans : C

Explanation: Z alone can finish the work in 120 days.

As given Z does half as much work as X and Y together

=> (X + Y) can do it in 60 days

(X+ Y)s 1 days wok = 1/60.

X's 1 days work : Y's 1 days Work = 1/2 : 1 = 1:2(given)

X's 1 day’s work = (1/60) x (1/3) = (1/180)

X's 1 days work = (1/60) x (2/3) = 1/90

(X+Y+Z)'s 1 day's work = (1/180) + (1/90) + (1/120)

=(2+4+3)/360

=9/360

= 1/40

All the three together will finish it in 40 days

3. P,Q, & R can complete a piece of job together in 20 days. All the 3 started working at it together and after
8 days P left. Then Q & R together completed a job in 20 more days. P alone could complete the work in.

A. 60

B. 50

C. 40

D. 30

View Answer

Ans : B

Explanation: Work done by P,Q & R in 8 days = 1/20 * 8 =2/5

Remaining work = (1 – 2/5) = 3/5

Now 3/5 work is done by Q & R in 20 days

Whole work will be done by Q & R in(20*5/3) =100/3 days

(P+Q+R)'s 1 day work = 1/20

(Q+R)'s 1 day work = 3/100

P's 1 day work =(P+Q+R)'s 1 day work – (Q+R)'s 1 day work

=1/20 – 3/100 => 5-3/100 => 2/100 => 1/50

P alone could complete the work in 50 days.

4. M do a piece of work in 45 days and N can finish it in 40 days. They work together for 5 days and then M
leaves. In how many days will N finish the remaining work?

A. 30 and 5/9 days.

B. 30 and 7/9 days.

C. 30 and 4/9 days.

D. 30 and 8/9 days.

View Answer

Ans : A

Explanation: Time taken by M to finish the work = 45 days.

M'ls 1 day’s work = 1/45

Time taken by N to finish the work = 40 days.

N'ls 1 day'ls work = 1/40

(M + N)'ls 1 day'ls work = (1/40+1/45) = (9+8)/360=17/360

(M + N)'ls 5 day'ls work (5 × 17/360) = 85/360=17/72

Remaining work (1 – 17/72) = 55/72

Now, 55/72 work is done by N in 1 day

Therefore, 55/72 work will be done by N in (55/72*40) days = 30and 5/9 days.

Hence,

5. Arfath is thrice as good workman as deekshith and together they finish a piece of work in 27 days. In how
many days will arfath alone finish the work?

A. 3

B. 6

C. 9

D. 12

View Answer

Ans : C

Explanation: Arfath's 1 days work = 3

Deekshith 1 day's work = 1

Arfath 1 day's work : Deekshith 1 days work = 3:1

(Arfath + deekshith )'s 1 day's work = 1/27

Divide 1/27 in the ratio 3:1

Arfath's 1 days work = 1/27 *3/1 = 3/27

=1/9

Hence Arfath's alone can finish the work in 9 days

6. Adam and Smith are working on a project. Adam takes 18 hrs to type 108 pages on a computer, while
Smith takes 15 hrs to type 120 pages. How much time will they take, working together on two different
computers to type a project of 360 pages?

A. 23 hrs 24 min

B. 45 hrs 42 min

C. 25 hrs 42 min

D. 42 hrs 45 min

View Answer

Ans : C

Explanation: Number of pages typed by Adam=108

Number of pages typed by Adam in 1 hour = 108/18=6

Number of pages typed by Smith =120

Number of pages typed by Smith in 1 hour = 120/15 =8

Number of pages typed by both in 1 hour = (6 + 8) = 14

Time taken by both to type 360 pages,

= (360 * 1/14) =25 hrs 42 min

7. 90 persons can complete a job in 32 days. 12 days after they started working, 60 more persons joined
them. How many days will they now take to complete the remaining work?

A. 10

B. 12

C. 14

D. 16

View Answer

Ans : B

Explanation: (90 * 32) persons can complete the work in 1 day.

1 person 1 day's work = 1/(90 *32) i.e., 1/2880

90 person's 12 day's work = 1/32 * 12 = 3/8

Remaining work =(1- 3/8) = 5/8

150 persons 1 day work = 150 / 2880 => 5/96

Now 5/96 work is done by them in 1 day .

Therefore 5/8 work is done by them, => (96/5*5/8) => 12 days.

8. X,Y and Z can do a certain job in 72,108 and 144 days respectively. They started the job but X left 16
days before the completion of the job while Y left 24 days before the completion. The number of days for
which Z worked is

A. 12 days

B. 24 days

C. 36 days

D. 48 days

View Answer

Ans : D

Explanation: Suppose the work was finished in 'a' days

Then X's (a – 16) day's work + Y's (a – 24) days + Z's a days work = 1

(a-16)/72 + (a-24)/108 + a/144 =1

lcm of 72,108,144 is 432

(6(a-16) + 4(a-24) +3a) /432 = 1

13a - 192 = 432

13a = 624 => a =48

Therefore Z worked in 48 days.

9. Karthik is 2 times as good workman as Raghu and together they complete a piece of work in 42 days. The
number of days taken by Karthik alone to finish the work is.

A. 55 days

B. 60 days

C. 63 days

D. 67 days

View Answer

Ans : C

Explanation: Karthik's 1 day work : Raghu's 1 day work = 2:1

(Karthik + Raghu)'s 1 day work = 1/42

Divide 1/42 in the ratio 2:1

Therefore karthik's 1 day work = 1/42 * 2/3

=1/63

Hence karthik alone can finish the work in 63 days.

10. Vinay can do a work in 28 days. Vikram is 75% more efficient than vinay. The number of days taken by
vikram to do the same piece of work.

A. 12 days

B. 14 days

C. 16 days

D. 18 days

View Answer

Ans : C

Explanation: Given a certain work done by vinay = 28 days

Efficient percentage of vikram = 75%

Ratio of time taken by vinay and vikram = 175 : 100 = 7:4

Suppose vikram takes ‘x’ days to do the work.

7:4 :: 28 : x

X= 4*4 = 16 days

So vikram takes 16 days to do the work.

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