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:

Anil can do a piece of work in 14 days which Rohit can do in 21 days. They worked together for few days after which Anil left. If Rohit worked alone for 3 days, find the total number of days it took to complete the whole work.

A) 31/5 B) 51/5
C) 21/5 D) 13/5
 
Answer & Explanation Answer: B) 51/5

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Q:

Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?

A) 10 B) 25
C) 15 D) 20
 
Answer & Explanation Answer: D) 20

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Q:

Both A and B together can complete a work in 20 days and B alone can complete the same work in 36 days. In how many days will A alone complete the work?

A) 30 B) 50
C) 45 D) 42
 
Answer & Explanation Answer: C) 45

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Q:

A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?

A) 17.28 B) 18
C) 19.44 D) 36
 
Answer & Explanation Answer: C) 19.44

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Q:

Both X and Y together can complete a work in 12 days and Y alone can complete the same work in 30 days. In how many days will X alone complete the work?

 

A) 15 B) 20
C) 18 D) 16
 
Answer & Explanation Answer: B) 20

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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:

Munni can bake 70 cakes in 7 hours, Munni and Guddi together can bake 90 cakes in 6 hours. How many cakes Guddi can bake in 10 hours?

A) 100 B) 50
C) 125 D) 25
 
Answer & Explanation Answer: B) 50

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Q:

Jaikishen can do a piece of work in 15 hours. If he is joined by Jhanvi who is 50% more efficient, in what time will they together finish the work?

A) 6 hours B) 12 hours
C) 3 hours D) 9 hours
 
Answer & Explanation Answer: A) 6 hours

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