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:

P can complete a work in 15 days and Q in 24 days. They began the work together, but Q left the work 2 days before its completion. In how manydays, was the work completed?

A) 12 B) 10
C) 9 D) 11
 
Answer & Explanation Answer: B) 10

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Q:

If A and B together do a job in 7.5 days and if A could do the job in 10 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 30 B) 40
C) 25 D) 50
 
Answer & Explanation Answer: A) 30

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1 1621
Q:

B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?

A) 30 B) 15
C) 20 D) 10
 
Answer & Explanation Answer: B) 15

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Q:

2 men or 3 women can complete a job in 96 days. Then 6 men and 7 women will complete the same job in how many days?

A) 18 B) 27
C) 20 D) 24
 
Answer & Explanation Answer: A) 18

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4 1590
Q:

A and B can complete a task in 1.5 days. However, A had to leave a few days before the task wascompleted and hence it took 2 days in all to complete the task. If A alone could complete the work in2.625 days, how many days before the work getting over did A leave?

A) 1.125 B) 0.625
C) 0.375 D) 0.875
 
Answer & Explanation Answer: D) 0.875

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Q:

Sandy and Mandy do (8/13)th part of a work and the rest of the work was completed by Andy. If Sandy, Mandy and Andy take the same work for Rs. 2600, then what is the share (in Rs) of Andy?

A) 1600 B) 1400
C) 800 D) 1000
 
Answer & Explanation Answer: D) 1000

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Q:

Nirmit can do 2/3 of a job in 18 days. Kashish is twice as efficient as Nirmit. In how many days Kashish will complete the job?

A) 29/4 B) 27/2
C) 31/2 D) 13/2
 
Answer & Explanation Answer: B) 27/2

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Q:

A does 75% of a work in 50 days. He then calls in B and they together finish the remaining work in 10 days. How long B alone would take to complete the whole work?

A) 200 days B) 50 days
C) 100 days D) 125 days
 
Answer & Explanation Answer: C) 100 days

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