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:

Amit can complete a work in 25 days and Punit can complete the same work in 20 days. Punit alone worked at it for 10 days and then left the work. In how many days will Amit alone complete the remaining work?

A) 10.5 B) 11.5
C) 12.5 D) 13.5
 
Answer & Explanation Answer: C) 12.5

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Q:

A can do a work in 8 days, B can do the same work in 10 days and C can do the same work in 12 days. If all three of them do the same work together and they are paid Rs 7400, then what is the share (in Rs) of B?

A) 2600 B) 3000
C) 2400 D) 2000
 
Answer & Explanation Answer: C) 2400

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Q:

If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days then in how many days can C alone do the job?

A) 36 B) 6
C) 18 D) 12
 
Answer & Explanation Answer: C) 18

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Q:

A and B together do a job in 6.75 days and A could do the job in 9 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 27 B) 18
C) 24 D) 21
 
Answer & Explanation Answer: A) 27

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Q:

P and Q can do a project in 150 and 100 days respectively. In how many days can they complete 60% of the project if they work together?

A) 12 days B) 72 days
C) 42 days D) 36 days
 
Answer & Explanation Answer: D) 36 days

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Q:

A  field  can  be  reaped  by  12  men  or  18  women  in  14  days.  In  how  many  days  can  8  men  and  16 women reap it?

A) 26 days B) 24 days
C) 9 days D) 8 days
 
Answer & Explanation Answer: C) 9 days

Explanation:
12 men or 18 women can complete in 14 days
8 men and 16 women can complete in how many days
12men = 18 women (Comparing efficiencies)
1men = 18/12 = 1.5 women
8 men and 16 women = 12women + 16 women = 28 women
18 women completes in 14 days
1 woman completes in 14*18 days
28 women completes in (14*18)/28 days = 9 days
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Q:

Prabodh has done 1/2 of a job in 30 days, Sapan completes the rest of the job in 45 days. In how many days can they together do the job?

A) 18 days B) 48 days
C) 27 days D) 36 days
 
Answer & Explanation Answer: D) 36 days

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Q:

Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in _____.

A) 15 days B) 60 days
C) 20 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

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