Time and Work Questions

FACTS  AND  FORMULAE  FOR  TIME  AND  WORK  QUESTIONS

 

 

1. If A can do a piece of work in n days, then A's 1 day's work =1n

2. If A’s 1 day's work =1n, then A can finish the work in n days.

 

3. A is thrice as good a workman as B, then:

Ratio of work done by A and B = 3 : 1.

Ratio of times taken by A and B to finish a work = 1 : 3.

 

NOTE : 

Efficiency1No of time units

 

 Efficiency × Time = Constant Work

 

Hence, Required time = WorkEfficiency

 

Whole work is always considered as 1, in terms of fraction and 100% , in terms of percentage.

In general, number of day's or hours = 100Efficiency

Q:

A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is

A) 4 days B) 6 days
C) 8 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

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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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Q:

One tap can fill a water tank in 50 mins and another tap can make the filled tank empty in 75 mins. If both the taps are open together, already half filled tank would be full in

A) 60 min B) 75 min
C) 125 min D) 150 min
 
Answer & Explanation Answer: B) 75 min

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Q:

P and Q can do a project in 6 and 12 days respectively. In how many days can they complete 25% of the project if they work together?

A) 2 days B) 4 days
C) 1 days D) 8 days
 
Answer & Explanation Answer: C) 1 days

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Q:

S, T and U together can complete a work in 30 days. If the ratio of efficiency of S, T and U is 20 : 15 : 12 respectively, then in how many days U alone can complete the same work?

A) 195/2 B) 235/2
C) 225/2 D) 215/2
 
Answer & Explanation Answer: B) 235/2

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Q:

50 men can complete a work in 28 days. They started the work together, but at the end of each 10th day, 10 men left the job. The work was completed in how many days?

A) 36 B) 38
C) 40 D) 45
 
Answer & Explanation Answer: C) 40

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Q:

Painter 'A' can paint a house in 10 days and 'B' can do it in 20 days. With help of 'C', they did the job in 5 days only. Then, 'C' alone can do the job in:

A) 20 days B) 10 days
C) 40 days D) 50 days
 
Answer & Explanation Answer: A) 20 days

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Q:

A is thrice as productive as C. Together they can complete a job in 22.5 days. If B joins them after they have worked for 15 days then in how many days can they finish the rest of the job if B alone can do the job in 15 days?

A) 6 B) 3
C) 9 D) 2
 
Answer & Explanation Answer: B) 3

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