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:

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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8 1940
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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2 1935
Q:

Vijay can do a work in 8 hours. Vijay and Puneet together can do the same work in 6 hours. Puneet and Sachin together can do the same work in 4 hours. Sachin alone can complete the same work in how many hours?

A) 22/5 B) 28/5
C) 24/5 D) 26/5
 
Answer & Explanation Answer: C) 24/5

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2 1929
Q:

A can do a piece of work in 6 days working 8 hours a day while B can do the same work in 4 days working 10 hours a day. If the work has to be completed in 5 days, so how many hours do they need to work together in a day?

A) 59/11 B) 48/11
C) 70/11 D) 65/11
 
Answer & Explanation Answer: B) 48/11

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2 1911
Q:

A can do a piece of work in 10 days and B in 12 days. With help of C, they finish the work in 4 days. In how many days C alone can do the same work?

A) 12 B) 15
C) 18 D) 24
 
Answer & Explanation Answer: B) 15

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1 1909
Q:

Mansukh can do a piece of work in 10 hours. If he is joined by Jayanti who is 50% more efficient, in what time will they together finish the work?

A) 2 hours B) 6 hours
C) 4 hours D) 3 hours
 
Answer & Explanation Answer: C) 4 hours

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3 1908
Q:

Robin can do a work alone in 9 days. Amit can do the same work alone in 6 days. Both of them finish the work together and they get a total Rs 2500. What isthe share (in Rs) of Robin?

A) 1700 B) 1200
C) 1500 D) 1000
 
Answer & Explanation Answer: D) 1000

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2 1900
Q:

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days.

A) 4 Days B) 3 Days
C) 2 Days D) 1 Day
 
Answer & Explanation Answer: D) 1 Day

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1 1876