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:

Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?

A) 25 B) 50
C) 30 D) 75
 
Answer & Explanation Answer: B) 50

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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:

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:

Robin can do a work in 10 hours. Pradeep and Robin together can do the same work in 4 hours. Pradeep and Nitin together can do the samework in 5 hours. In how many hours Nitin alone can complete the same work?

A) 12 B) 15
C) 18 D) 20
 
Answer & Explanation Answer: D) 20

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Q:

Two labourers A and B are paid a total of Rs. 750 per day. If A is paid 150 percent of what is paid to B, how much (in Rs) is B paid?

A) 450 B) 250
C) 300 D) 500
 
Answer & Explanation Answer: C) 300

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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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Q:

Raja and Kundan together can build a wall in 20 days, Kundan and Mahesh build the same wall in 30 days and Mahesh and Raja can build the same wall in 24 days. In how many days can all the three complete the same wall while working together?

A) 18 B) 16
C) 20 D) 14
 
Answer & Explanation Answer: B) 16

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