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, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 : 10 : 6 respectively, then in how many days C alone can complete the same work?

A) 727/6 B) 725/6
C) 775/6 D) 745/6
 
Answer & Explanation Answer: C) 775/6

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Q:

In a computer game, there are builders and destroyers. Together there are 20 of them. Some of them try to build a wall around a castle while the rest try to demolish it. Each of the builders can build the wall alone in 15 hours while any of the destroyers can demolish it in 10 hours. If all 20 builders and destroyers are made active when there is no wall and the wall gets built in 3 hours, how many of them are destroyers?

A) 5 B) 7
C) 6 D) 8
 
Answer & Explanation Answer: C) 6

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Q:

Painter A can paint a house in 40 days and Painter B can do it in 60 days. With help of C, they did the job in 20 days only. Then, C alone can do the job in

A) 120 days B) 100 days
C) 90 days D) 80 days
 
Answer & Explanation Answer: A) 120 days

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Q:

Ram and Hari can cut 12 kgs nuts in 2 days. After 5 days, Hari left the work. Ram took 8 more days to cut the rest of the nuts. If total of 58 kgs of nuts were cut, the time taken by Hari to cut 10 kg of nuts is

A) 1 day B) 2 days
C) 3 days D) 4 days
 
Answer & Explanation Answer: D) 4 days

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Q:

8 men can complete a work in 16 days. 16 women can complete the same work in 24 days. In how many days can 4 men and 8 women complete the same work?

A) B)
C) D)
 
Answer & Explanation Answer:

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Q:

S, T and U can complete a work in 40, 48 and 60 days respectively. They received Rs 10800 to complete the work. They begin the work together but Tleft 2 days before the completion of the work and U left 5 days before the completion of the work. S has completed the remaining work alone. What is the share of S(in Rs) from total money?

A) 4320 B) 4500
C) 4860 D) 4960
 
Answer & Explanation Answer: C) 4860

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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:

Rohan and Mohit together can build a wall in 8 days. Mohit and Vikas build the same wall in 10 days and Vikas and Rohan can build the same wall in 12days. In how many days can all the three complete the same wall while working together?

A) 240/37 B) 120/37
C) 150/37 D) 180/37
 
Answer & Explanation Answer: A) 240/37

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