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A can do a piece of work in 30 days. He works at it for 6 days and then B finishes it in 18 days. In what time can A and B together it ?

A.

11 days

B.

12 6/7 days

C.

14 1/2 days

D.

13 1/4 days

Answer with explanation

Answer: Option BExplanation

Let ‘B’ alone can do the work in ‘x’ days

6/30 + 18/x = 1

=> x = 22.5

1/30 + 1/22.5 = 7/90

=> 90/7 = 12 6/7 days

Workspace

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in

A.

3 days

B.

5 days

C.

6 days

D.

9 days

Answer with explanation

Answer: Option CExplanation

Workspace

Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?

A.

18 hours 30 min

B.

16 hours

C.

20 hours 30 min

D.

24 hours

Answer with explanation

Answer: Option CExplanation

1/18 + 1/24 = 7/72

72/7 = 10 2/7

7/72 * 10 = 35/36 —– 20 hours

WR = 1 – 35/36 = 1/36

1 h —– 1/18

? —– 1/36 = 1/2 hours

=> 20 1/2 hours

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An air conditioner can coo the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately?

A.

24 Minutes

B.

19 minutes

C.

18 minutes

D.

22 minutes

Answer with explanation

Answer: Option DExplanation

Let the two conditioners be A and B

‘A’ cools at 40min

‘B’ at 45min

Together =(axb)/(a+b) = (45×40)/85 = 21.1764 = (approx) 22 min.

Workspace

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is

A.

14

B.

15

C.

16

D.

18

Answer with explanation

Answer: Option CExplanation

Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.

Suppose Tanya takes *x* days to do the work.

*x* = 16 days.

Hence, Tanya takes 16 days to complete the work.

Workspace

A, B, C, and D can do a piece of work in 20 days. If A and B can do it together in 50 days, and C alone in 60 days, find the time in which D alone can do it.

A.

90 days

B.

75 days

C.

100 days

D.

150 days

Answer with explanation

Answer: Option BExplanation

D alone will take 1/20 – 1/50 – 1/60 = 4/300 = 1/75

⇒ 75 days to complete the work.

Workspace

5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio

A.

1:3

B.

1:2

C.

2:3

D.

2:1

Answer with explanation

Answer: Option DExplanation

Let 1 man 1 day work = x

1 boy 1 day work = y

then 5x + 2y = 4(x+y)

=> x = 2y

=> x/y = 2/1

=> x:y = 2:1

Workspace

3 men, 4 women, and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?

A.

5

B.

7

C.

9

D.

11

Answer with explanation

Answer: Option BExplanation

Let 1 woman’s 1 day work = x.

Then, 1 man’s 1 day work = x/2 and 1 child’s 1 day work x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

Workspace

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days ?

A.

15 days

B.

13 days

C.

11 days

D.

9 days

Answer with explanation

Answer: Option BExplanation

Ratio of times taken by A and B = 100 : 130 = 10 : 13.

Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x => x = ( 23 x 13/10 ) => x = 299 /10.

A’s 1 day’s work = 1/23 ;

B’s 1 day’s work = 10/299 .

(A + B)’s 1 day’s work = ( 1/23 + 10/299 ) = 23/299 = 113 .

Therefore, A and B together can complete the work in 13 days.

Workspace

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A.

6 days

B.

8 days

C.

10 days

D.

25 days

Answer with explanation

Answer: Option CExplanation

Workspace

A and B can do a piece of work in 40 days, B and C can do it in 120 days. If B alone can do it in 180 days, in how many days will A and C do it together?

A.

30 days

B.

15 days

C.

45 days

D.

18 days

Answer with explanation

Answer: Option CExplanation

A + B take 40 days. B alone takes 180 days.

∴ A will take 1/40 – 1/180 = 7/360 ⇒ 360/7 days.

B + C take 120 days. ∴ C alone will take 1/120 – 1/180 = 1/360

i.e. 360 days. ∴ A & C together will take 7/360 + 1/360

= 8/360 ⇒ 360/8 = 45 days to complete the work.

Workspace

To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much time A and C will take

A.

16 days

B.

8 days

C.

24 days

D.

12 days

Answer with explanation

Answer: Option BExplanation

A+B 1 day work = 1/8

B+C 1 day work = 1/12

A+B+C 1 day work = 1/6

We can get A work by (A+B+C)-(B+C)

And C by (A+B+C)-(A+B)

So A 1 day work =

So A and C can together do this work in 8 days

Workspace

A can complete a piece of work in 12 days while B can the same work in 18 days. If they both work together, then how many days will be required to finish the work?

A.

9.5 days

B.

12 days

C.

6 days

D.

7.2 days

Answer with explanation

Answer: Option DExplanation

Workspace

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. 800

B.

Rs. 600

C.

Rs. 400

D.

Rs. 375

Answer with explanation

Answer: Option CExplanation

Workspace

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