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Quantitative Aptitude-Topic Wise Questions-Time & Work – Set -2

1)The time taken by A alone to finish a piece of work is 60 % more than that taken by A & B together to finish the same piece of work . C is twice as efficient as B . If B & C together can complete the same piece of work in 40/3 days, in how many days can A alone finish the same piece of work ?

A)32

B)24

C)16

D)28

2)8 children & 10 men complete a certain piece of work in 29 days . If each child takes twice the time taken by a man to finish the work, then in how many days will 15 men & 86 boys finish the same work ?

A)9 days

B)7 days

C)12 days

D)10 days

E)None of these

3)Abhishek is twice as good a workman as Bharat and Bharat is twice as good a workman as Charu. If Abhishek & Bharat can together finish a piece of work in 4 days, then Charu can do it in .

A)6

B)8

C)24

D)12

E)14

4)8 men & 4 women together can complete a piece of work in 6 days. work done by a man in one days is double the work done by women in one day. If 8 men & 4 women started working & after 2 days, 4 men left & 4 new women joined. In how many more days will the work be completed ?

A)5

B)8

C)6

D)4

E)9

5)The ratio of work done by 20 men to work done by 30 women in same time is 8 :5.if 10 men and 18 women can do a work in 12 days, how many men would be required to finish it in 14 days

A)10

B)12

C)14

D)15

E)18

6)A & B together can complete a job in 8 days , B & C when each work alone can finish work in 12 days, A & B work for 4 days then A leaves , B continues for 2 more days and then he leaves too. C now starts working and finish the job. How many days did C require ?

A)5

B)6

C)3

D)4

E)7

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Ans

1.B-24)

Ratio of efficiency = A : (A+B)=100 :160=5:8

Ratio of efficiency of A:B=5:3

Ratio of efficiency of A:B:C=5:3:6(as C is twice as efficiency as B)

Total efficiency of B & C is =9

According to questions

9 →40/3

So 5- (40/3 *9)/5= 24 days

2-B-7 )

2 children = 1 man

8 children + 10 men =14 men

15 men + 86 boys= 58 men

58 men finish the work in (14*29)/58=7 days

3.24)

Ratio of efficiency of Abhishek :Bharat =2:1

Ratio of efficiency of Bharat : Charu =2:1

Ratio of efficiency of Abhishek :Bharat :Charu=4:2:1

Total efficiency of Abhishek & Bharat is = 6

According to question

6→4

1= (6*4)/1=24 days

4.A-5)

1 M=2 W

8M+4W=20W

4M+8W=16W

Let In X more days, the work will be completed.

According to questions

20 *6=(20*2)+16*X

X=5 days

5-D-15)

(20 *5)M=(30 *8)W

5M=12W

10M+18W=42W

According to question

Women would be required to finish it in 14 days

=(42*12)/14=36W=15M

So men would be required=15 M

6.D)

A alone can finish the work in 24 days

According to question

4/24 +6/12+X/12=1

X=4 days

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