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:

Arjun and Anurag complete a job in 6 days and 7 days respectively. They worked together and earned a total of Rs. 780. Find Arjun's share in this amount in Rs. ?

A) 490 B) 560
C) 350 D) 420
 
Answer & Explanation Answer: D) 420

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Q:

Some masons promised to do a work in 10 days but 8 of them were absent and remaining did the work in 18 days. What was the original number of masons?

 

A) 10 B) 21
C) 15 D) 18
 
Answer & Explanation Answer: D) 18

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Q:

Rahul can complete a work in 18 days and Sonu can complete the same work in 15 days. If both together work for 5 days, then what part of total work is left?

 

A) 7/15 B) 11/18
C) 7/18 D) 8/15
 
Answer & Explanation Answer: C) 7/18

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Q:

A, B and C are employed to complete a work in Rs. 784. If A and B together complete 23/28 of the work. Calculate the wages (in Rs.) paid to C?

A) 280 B) 140
C) 70 D) 56
 
Answer & Explanation Answer: B) 140

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Q:

Manish, Mukesh and Sachin are Accountants. Mukesh can filea return in 5 hours and Sachin in 4 hours alone. All three together can do it in 2 hours. In what time (in hrs) will Manish do the work?

A) 15 B) 20
C) 17 D) 10
 
Answer & Explanation Answer: B) 20

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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:

U, V and W together can make a chair in 20 minutes. U and V together can make it in 25 minutes. How much time will (in minutes) W alone take to make the chair?

 

A) 100   B) 90
C) 60 D) 120
 
Answer & Explanation Answer: A) 100  

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Q:

X boys can do a piece of work in 24 days. In how much time (in days), 2X boys will do half of the work?

 

A) 6 B) 12
C) 18 D) 8
 
Answer & Explanation Answer: A) 6

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