10
Q:

50 men can build a tank in 40days, but though they begin the work together, 5 men quit every ten days. The time needed to build the tank is ?

A) 50 days B) 48 days
C) 47.5 days D) 49 days

Answer:   A) 50 days



Explanation:

50 men can build a tank in 40 days 

Assume 1 man does 1 unit of work in 1 day

Then the total work is 50×40 = 2000 units

 

50 men work in the first 10 days and completes 50×10 = 500 units of work

45 men work in the next 10 days and completes 45×10 = 450 units of work

40 men work in the next 10 days and completes 40×10 = 400 units of work

35 men work in the next 10 days and completes 35×10 = 350 units of work

So far 500 + 450 + 400 + 350 = 1700 units of work is completed and

 

Remaining work is 2000 - 1700 = 300 units

 

30 men work in the next 10 days. In each day, they does 30 units of work.

 

Therefore, additional days required = 300/30 =10

 

Thus, total 10+10+10+10+10 = 50 days required.

Subject: Time and Work
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk
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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4 522
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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1 402
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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1 500
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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1 319
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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3 459
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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1 507
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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1 525
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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4 479