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:

A certain number of men agreed to do a work in 20 days. 5 men did not come for work. Others completed the work in 40 days. Find the number of men who had agreed to do the work originally.

A) 8 B) 10
C) 12 D) 15
 
Answer & Explanation Answer: B) 10

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Q:

A can paint a house in 42 days and B can do it in 21 days. Along with C, they can finish the job in 7 days only.C alone can do the painting job in how many days, ?

A) 9 B) 12
C) 14 D) 15
 
Answer & Explanation Answer: C) 14

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2 1038
Q:

A and B together can do a piece of work in 36 days, B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in

A) 8 days B) 16 days
C) 30 days D) 32 days
 
Answer & Explanation Answer: B) 16 days

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1 1036
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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2 1032
Q:

Shivam is 10% less efficient than Vivek. If Vivek can make a helmet in 9 days, then in how many days Shivam can complete the same work?

 

A) 15 B) 12
C) 10 D) 8
 
Answer & Explanation Answer: C) 10

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3 1028
Q:

A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. Working together they can do the work in

A) 12 days B) 13 days
C) 16 days D) 26 days
 
Answer & Explanation Answer: C) 16 days

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Q:

A and B together can do a piece of work in 10 days. If A can do the work in 15 days, find in how many days that B alone can do the same work. Given below are the steps involved in solving the above problem. Arrange them in sequential order.

 

A) One day's work of B is 1/10 - 1/15

B) One day's work of A and B is 1/10 and One day's work of A is 1/15

C) B alone can do the work in 30 days

D) One day's work of B is 1/30

 

A) BADC B) ADCB
C) BCAD D) BDAC
 
Answer & Explanation Answer: A) BADC

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Q:

Rakshanth is twice as good as tradesman as Verma and together they finish a piece of work in 19 days. In how many dayswill Verma alone finish the work?

A) 38 B) 57
C) 76 D) 50
 
Answer & Explanation Answer: B) 57

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