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:

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:

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

A) 100 B) 120
C) 90 D) 150
 
Answer & Explanation Answer: B) 120

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Q:

A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. what will be the share of A in this amount of money ?

A) Rs.200 B) Rs.240
C) Rs.250 D) Rs.300
 
Answer & Explanation Answer: C) Rs.250

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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:

Mahmood can do a piece of work in 40 hours. If he is joined by Janaki who is 50% more efficient, in what time will they together finish the work?

A) 2 hours B) 6 hours
C) 16 hours D) 3 hours
 
Answer & Explanation Answer: C) 16 hours

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Q:

Abhinav is 2 times as good a workman as Balwant and therefore is able to finish a job in 36 days less than Balwant. Working together, they can do it in

A) 12 days B) 6 days
C) 18 days D) 24 days
 
Answer & Explanation Answer: D) 24 days

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Q:

A, B and C can do job in 9, 12 and 36 days respectively if they worked alone. A leaves after they have worked together for 3 days. In how many days can B and C do the rest of the job?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: A) 3

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Q:

A can do a work in 36 days and B in 12 days. If they work on it together, then in how many days will they be able to do the work?

A) 8 B) 6
C) 10 D) 9
 
Answer & Explanation Answer: D) 9

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