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:

Working 7 hours in a day, 4 men can do a piece of work in 8 days. Working 8 hours in a day, the required number of men to perform the same work in 4 days will be

A) 8 B) 4
C) 7 D) 9
 
Answer & Explanation Answer: C) 7

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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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Q:

Manjeet can do a work in 18 hours. If he is joined by Jaya who is 100% more efficient, in what time will they together finish the work?

A) 6 hours B) 3 hours
C) 12 hours D) 24 hours
 
Answer & Explanation Answer: A) 6 hours

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Q:

30 men can do a piece of work in 16 days working 8 hrs a day. How many men are needed to complete another work, which is twice the first one, in 10 days working 12 hrs a day?

 

The following are the steps involved in solving the above problem. Arrange them in sequential order.

 

 

A) CBAD B) BACD
C) ABCD D) ACBD
 
Answer & Explanation Answer: A) CBAD

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Q:

A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. C can alone do the work in

A) 5 days B) 6 days
C) 10 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

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Q:

A can do a work in 20 days and B in 10 days. If they work on it together for 5 days, then what fraction of work is left.

A) 4/9 B) 1/4
C) 1/5 D) 2/9
 
Answer & Explanation Answer: B) 1/4

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Q:

X is 25% more efficient than Y. If Y alone can make a chair in 10 days, then X alone can make the chair in how many days?

A) 8 B) 12
C) 12.5 D) 7.5
 
Answer & Explanation Answer: A) 8

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Q:

Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

A) 90 B) 45
C) 60 D) 75
 
Answer & Explanation Answer: B) 45

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