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:

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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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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0 920
Q:

B is thrice as efficient as A and C is 0.75 times as efficient as A. What is the ratio of number of days taken by A, B and C when they work individually?

A) 4:1:3 B) 3:1:4
C) 2:3:1 D) 5:1:2
 
Answer & Explanation Answer: B) 3:1:4

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Q:

If a young son works quickly for 2 hours and prepares 16 items in a day, and his old father works slowly for 8 hours and prepares 24 items in a day, which of the following is true?

A) The son has more energy B) Both have equal energy
C) The son has more power D) Both have equal power
 
Answer & Explanation Answer: C) The son has more power

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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:

Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ?

A) 32 days B) 28 days
C) 29 days D) 30 days
 
Answer & Explanation Answer: D) 30 days

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Q:

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

 

A) 160 B) 150
C) 130 D) 175
 
Answer & Explanation Answer: A) 160

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Q:

A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in:

A) 120 days B) 130 days
C) 150 days D) 100 days
 
Answer & Explanation Answer: A) 120 days

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