## Quantitative Aptitude Questions and Answers - Time and Work

11. Arul can do a certain work in 9 days while Ravi can do the same work in 7 days. Both of them complete
the work together and get Rs.288. what is the share of Arul?

A. Rs.124

B. Rs.126

C. Rs.125

D. Rs.128

View Answer

Ans : B

Explanation: Arul's 1 day work = 1/9

Ravi's 1 day work = 1/7

Arul's salary : Ravi's salary = Arul's 1 day work : Ravi's 1 day work

= 1/9 : 1/7

= 7 :9

Arul’s share = Rs.(7/16 *288) => Rs.126

12. 6 male , 8 female and 12 children can complete a work in 14 days .a female does twice the work of a
male does and a child does half the work a male does . how many female alone can complete this work in 14
days?

A. 13

B. 14

C. 15

D. 16

View Answer

Ans : B

Explanation: Let 1 female 's 1 day work= x

Then 1 male's 1 day work =x/2

And 1 child's 1 day work =x/4

So 6x/2 + 8x +12x/4 =1/14

3x+8x+3x = 1/14

14x = 1/14

X=196

1 female alone can complete the work in 196 days

So, to complete the work in 14 days number of female required = 14.

13. 8 male can finish a work in 6 days.12 female can complete the same work in 9 days. 6 male and 4 female
started working and after 4 days 3 more female joined them. How many days will they now take to complete
the remaining work?

A. 74/41

B. 75/41

C. 76/41

D. 77/41

View Answer

Ans : C

Explanation: 1 male's 1 day work = 1/48

1 female's 1 day work = 1/108

Work done in 4 days = 4 (6/48 +4/108) => 35/54

Remaining work = (1 – 35/54) = 19/54

(6 male + 7 female)'s 1 day work = 6/48 + 7/108 => 41/216

Now 41/216 work is done by them in 1 day

Therefore time taken = 216/41 * 19/54 = 76/41 days

14. A sum of amount of money is adequate to pay peter’s salary for 42 days and Harish’s salary for 56 days.
The same money is adequate to pay the salary of both for.

A. 24 days

B. 36 days

C. 28 days

D. 32 days

View Answer

Ans : A

Explanation: Let the total money be Rs.x

Peter's 1 day salary = Rs. x/42

Harish 1 day salary = Rs. x/56

(peter+harish)'s 1 day salary = Rs(x/42+x/56) => x/24

Money is adequate to pay the salary of both for 24 days

15. A cistern can be filled in 25 minutes. There is a leakage which can empty it in 50 minutes. In how many
minutes cistern can be filled?

A. 20 mins

B. 25 mins

C. 45 mins

D. 50 mins

View Answer

Ans : D

Explanation: Efficiency of filling faucet= 100/25 = 4%

Efficiency of leakage faucet = 100/50= 2%

Net filling efficiency = (4-2)% => 2%

So, t cistern can be filled in = 100/2 => 50 minutes

16. Rakchita can do a piece of work in 28 days, while Shreya can do the same work in 42 days.They started
the work together but 6 days before the completion of the work, Rakchita left the work. The total number of
days to complete the work is

A. 4

B. 5

C. 6

D. 3

View Answer

Ans : C

Explanation: 6 days before the completion of the work Rakchita left the work means in last 6 days only Shreya has worked alone

So, in last 6 days worked done by Shreya = 6*1/42=6/42=1/7

So, the rest = 1-1/7 =6/7

So 6/7work was done by Rakchita

and Shreya worked together=6/7*70/10 => 420/70 => 6 days

17. Pump A can fill the empty bunker in 6 hours, but due to a leak in the bottom it is filled in 7.5 hours, if the
bunker is full and then Pump A is closed then in how many hours the leak can empty it?

A. 30 hrs

B. 45 hrs

C. 50 hrs

D. 35 hrs

View Answer

Ans : A

Explanation: Efficiency of A = 16.666%

Effective of leak = 13.333%when there is leakage

So, efficiency of leakage =( Efficiency of A- Effective of leak)

=16.666%-13.333%= 3.333%

It means due to leakage a full bunker will be empty in 30 hours

18. 48 boys complete a work in 36 days. After they have worked for 24 days, 24 more boys join them. How
many days will they take to complete the remaining work?

A. 8 days

B. 3 days

C. 6 days

D. 4 days

View Answer

Ans : A

Explanation: 1 boy's 1 day's work = 1/(36*48) => 1/1728

48 boy's 24 day's work=48*24/1728=2/3

Remaining work = 1-2/3=1/3

72 boy's 1 day's work =72/1728=1/24

1/24 work is done by them in 1 day.

So, 1/3 work is done by them in 24/3= 8 days

19. P, Q and R together earn Rs.420 per day, while P and R together earn Rs.296 and Q and R together earn
Rs.164. The daily earning of R is :

A. Rs. 80

B. Rs. 40

C. Rs. 50

D. Rs. 60

View Answer

Ans : D

Explanation: (P+Q+R)'s earning = Rs. 420

(P+R)'s earning=Rs 296

(Q+R)'s earning=Rs 164

Q's daily earning = Rs. (420 - 296) = Rs.124

P's daily earning = Rs. (420 - 164) = Rs.236

Now (P+Q)'s earning=Rs 360

R's daily earning = Rs. [420 - 360] = Rs.60

20. A and B together can complete a work in 24 days. A alone can complete it in 40 days. If B does the work
only for half a day daily, then in how many days A and B together will complete the work?

A. 22 days

B. 24 days

C. 26 days

D. 28 days

View Answer

Ans : B

Explanation: B's 1 day's work = (1/24 -1/40) => (5-3)/120 => 2/120 => 1/60c
Now, (A + B)'s 1 day's work = (1/40 +1/60)

=(3+2)/120 => 5/120

So, A and B together will complete the work in 120/5 = 24 days.

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