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 mason can build a wall in 18 hours. After 9 hours he takes a break. What fraction of the wall is yet to be built?

A) 0.9 B) 0.25
C) 0.5 D) 0.2
 
Answer & Explanation Answer: C) 0.5

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Q:

Mother can bake 20 cakes in 4 hours, Mother and Dadima together can bake 60 cakes in 10 hours. How many cakes Dadima can bake in 30 hours?

A) 30 B) 75
C) 60 D) 25
 
Answer & Explanation Answer: A) 30

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Q:

A, B and C can do a job working alone in 6, 9 and 18 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to complete the remainder of the job?

A) 9 B) 6
C) 12 D) 10
 
Answer & Explanation Answer: C) 12

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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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Q:

Working together P, Q and R reap a field in 6 days. If P can do it alone in 10 days and Q in 24 days, in how many days will R alone be able to reap the field?

A) 32 days B) 40 days
C) 45 days D) 60 days
 
Answer & Explanation Answer: B) 40 days

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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 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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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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