20
Q:

6 men can complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days whereas 18 children can complete the piece of work in 10 days. 4 men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day how many men would be required totally?

A) 38 B) 72
C) 36 D) 76

Answer:   C) 36



Explanation:

Given 4men, 12 women and 20 children work for  2 days.

Workdone for 2 days by 4men, 12 women and 20 children = 4 x 26 x 12 + 12 x 28 x 18 + 20 x 218 x 10 = 12

Therefore, remaining work = 1 - 12 = 12

To complete the same work by only men in 1 day,

We know that M1 x D1 = M2 x D2

Here M1 = 6 , D1 = 12 and M2 = M , D2 = 1

12 x 6 = M x 1

=> M = 12 x 6 = 72

=> But the remaining work = 1/2

Men required => 1/2 x 72 = 36

Only men required to Complete the remaining work in 1 day = 36.

 

Subject: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

G is twice as fast as S in doing work. If G can do a work in 30 days less than S, how many days will they take to complete the work together?

A) 25 B) 20
C) 22 D) 15
 
Answer & Explanation Answer: B) 20

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17 1870
Q:

X can complete 5/7 part of a work in 10 days and Y can complete 3/4 part of the same work in 9 days. In how many days will both complete 13/21 part  of the total work?

 

A)  6 B) 4
C) 3 D) 12
 
Answer & Explanation Answer: B) 4

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7 1424
Q:

P can do a work in 10 days. Q can do the same work in 15 days. If they work together for 5 days, how much of the work will they complete?

A) 1/2 B) 2/3
C) 1/3 D) 5/6
 
Answer & Explanation Answer: D) 5/6

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2 1491
Q:

P can make a table in 16 days while Q can make it in 20 days. Q started the work and did that work for 5 days. In how many days P can complete the remaining work?

 

A)  10 B)  12
C)  15 D) 18
 
Answer & Explanation Answer: B)  12

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3 1137
Q:

S and T can finish a work in 50 days. They worked together for 20 days and then left. How much of the work is left?

A) 3/5 B) 1/3
C) 1/2 D) 2/5
 
Answer & Explanation Answer: A) 3/5

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3 1254
Q:

Type 1 workers are 2.5 times as efficient as type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 15 Type 2 workers to do the same work?

 

A) 13 B) 10
C) 12 D) 11
 
Answer & Explanation Answer: D) 11

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3 1393
Q:

P, Q and R alone can complete a work in 12, 15 and 20 days respectively. In how many days will they together complete the same work?

 

A) 4 B)  5  
C)  6   D) 3.5
 
Answer & Explanation Answer: D) 3.5

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4 1184
Q:

A, B and C can complete the work in 4, 5 and 6 hours respectively. If they all work together and receive Rs. 777 as wages then find the share of A.

A) Rs. 300 B) Rs. 315
C) Rs. 326 D) Rs. 175
 
Answer & Explanation Answer: B) Rs. 315

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9 1024